SlideShare a Scribd company logo
Даалгавар-3
Сэдэв.          Интеграл                                                                                              Амжилт хүсье!

Бодлого 1
            1                                   2                            3                         9
                                                                               dx                          dx
            ∫       x3dx = ?                    ∫ x dx = ?                   ∫ x2 = ?                  ∫      =?
                                                   4
   a)                               b)                                 c)                         d)
                2                               −1                           1                         4    x
            −
                3


Бодлого 2
                                                    π                                   π                                 π
        π                                           4                                    2                                2
                                                           1                                                                      dx
  a)    ∫ Sinxdx = ?
        π
                                     b)             ∫π   Cos 2 x
                                                                 dx = ?          c)     ∫π      Cosx dx = ?      d)       ∫
                                                                                                                          π Sin x
                                                                                                                                  =?2
                                                −                                       −
        2                                            4                                      2                             4


Бодлого 3
        π                                                                                π                                              π
        2                                           π                                       3                                           3
                                                                x                                      5                                    7 dx
  a)    ∫π      Cos 2 x dx = ?         b)           ∫ 2Sin      3
                                                                  dx = ?          c)     ∫                π
                                                                                                                dx = ?             d)   ∫     2
                                                                                                                                        π Cos 3 x
                                                                                                                                                  =?
        −
                                                    π                                       0   Sin 2  x + 
            4                                       2
                                                                                                          3                           4



Бодлого 4
        5                                   3                                     2                                   1
                     dx                               dx                                   5                                       dx
  a)    ∫
        1           2x −1
                          =?      b)        ∫
                                            1        10 − 3 x
                                                              =?            c)    ∫
                                                                                  0
                                                                                       3
                                                                                         1 − 5x
                                                                                                dx = ?          d)    ∫
                                                                                                                      0
                                                                                                                              4
                                                                                                                                  2x +1
                                                                                                                                        =?
                                            3


Бодлого 5

       4 x5 − 3x 4 + x3 − 1                                         6 x 4 − 4 x3 + 7 x 2 − 1
        2                                                         3
  a) ∫                      dx = ?                         b)     ∫                          dx = ?
     1
               x2                                                 2
                                                                               x2
                     −1                                                      −1
                        5x7 − 4 x6 + 2 x                                        3x 6 − 4 x5 − 7 x 4 + 3x 2
        c)           ∫
                     −2
                              x3
                                         dx = ?                        d)    ∫
                                                                             −2
                                                                                            x4
                                                                                                           dx = ?




                                                                      2013.02.19

More Related Content

What's hot

Integrales sustituciones-trigonometricas
Integrales sustituciones-trigonometricasIntegrales sustituciones-trigonometricas
Integrales sustituciones-trigonometricasFabiana Carnicelli
 
129 ejercicios resueltos sobre identidades trigonometrica
129 ejercicios resueltos sobre identidades trigonometrica129 ejercicios resueltos sobre identidades trigonometrica
129 ejercicios resueltos sobre identidades trigonometricarjaimeramos
 
Pertemuan 8 metode integrasi
Pertemuan 8 metode integrasiPertemuan 8 metode integrasi
Pertemuan 8 metode integrasiIwan Saputra
 
Matran 1 bookbooming
Matran 1   bookboomingMatran 1   bookbooming
Matran 1 bookboomingbookbooming
 
Thi thử toán nguyễn huệ py 2012 lần 1 k d
Thi thử toán nguyễn huệ py 2012 lần 1 k dThi thử toán nguyễn huệ py 2012 lần 1 k d
Thi thử toán nguyễn huệ py 2012 lần 1 k dThế Giới Tinh Hoa
 
Matran 2 bookbooming
Matran 2   bookboomingMatran 2   bookbooming
Matran 2 bookboomingbookbooming
 
đáP án toán 11 học kỳ i
đáP án toán 11 học kỳ iđáP án toán 11 học kỳ i
đáP án toán 11 học kỳ iMaths Tqk
 
Hephuongtrinh bookbooming
Hephuongtrinh   bookboomingHephuongtrinh   bookbooming
Hephuongtrinh bookboomingbookbooming
 
Tich phan 216_tung_phan_8
Tich phan 216_tung_phan_8Tich phan 216_tung_phan_8
Tich phan 216_tung_phan_8Quyen Le
 
3.2.nenoteiktais integraalis
3.2.nenoteiktais integraalis3.2.nenoteiktais integraalis
3.2.nenoteiktais integraalisMaija Liepa
 
12X1 T02 02 integrating exponentials
12X1 T02 02 integrating exponentials12X1 T02 02 integrating exponentials
12X1 T02 02 integrating exponentialsNigel Simmons
 

What's hot (13)

Integrales sustituciones-trigonometricas
Integrales sustituciones-trigonometricasIntegrales sustituciones-trigonometricas
Integrales sustituciones-trigonometricas
 
129 ejercicios resueltos sobre identidades trigonometrica
129 ejercicios resueltos sobre identidades trigonometrica129 ejercicios resueltos sobre identidades trigonometrica
129 ejercicios resueltos sobre identidades trigonometrica
 
Pertemuan 8 metode integrasi
Pertemuan 8 metode integrasiPertemuan 8 metode integrasi
Pertemuan 8 metode integrasi
 
Matran 1 bookbooming
Matran 1   bookboomingMatran 1   bookbooming
Matran 1 bookbooming
 
Korenovanje
KorenovanjeKorenovanje
Korenovanje
 
Thi thử toán nguyễn huệ py 2012 lần 1 k d
Thi thử toán nguyễn huệ py 2012 lần 1 k dThi thử toán nguyễn huệ py 2012 lần 1 k d
Thi thử toán nguyễn huệ py 2012 lần 1 k d
 
Matran 2 bookbooming
Matran 2   bookboomingMatran 2   bookbooming
Matran 2 bookbooming
 
đáP án toán 11 học kỳ i
đáP án toán 11 học kỳ iđáP án toán 11 học kỳ i
đáP án toán 11 học kỳ i
 
Hephuongtrinh bookbooming
Hephuongtrinh   bookboomingHephuongtrinh   bookbooming
Hephuongtrinh bookbooming
 
Tich phan 216_tung_phan_8
Tich phan 216_tung_phan_8Tich phan 216_tung_phan_8
Tich phan 216_tung_phan_8
 
3.2.nenoteiktais integraalis
3.2.nenoteiktais integraalis3.2.nenoteiktais integraalis
3.2.nenoteiktais integraalis
 
Ecuaciones exponenciales
Ecuaciones exponencialesEcuaciones exponenciales
Ecuaciones exponenciales
 
12X1 T02 02 integrating exponentials
12X1 T02 02 integrating exponentials12X1 T02 02 integrating exponentials
12X1 T02 02 integrating exponentials
 

Viewers also liked

Bzd standart olimpiad 2013-iin bodloguud
Bzd standart olimpiad 2013-iin bodloguudBzd standart olimpiad 2013-iin bodloguud
Bzd standart olimpiad 2013-iin bodloguudBaasandorj Baatarhuyag
 

Viewers also liked (20)

Bodlogo blogd tavih 1
Bodlogo blogd tavih 1Bodlogo blogd tavih 1
Bodlogo blogd tavih 1
 
Test 23 jishig daalgavar.
Test 23 jishig daalgavar.Test 23 jishig daalgavar.
Test 23 jishig daalgavar.
 
10 soril 30_jishig daalgavar
10 soril 30_jishig daalgavar10 soril 30_jishig daalgavar
10 soril 30_jishig daalgavar
 
Baga olimpiad
Baga olimpiadBaga olimpiad
Baga olimpiad
 
10 soril 29_jishig daalgavar
10 soril 29_jishig daalgavar10 soril 29_jishig daalgavar
10 soril 29_jishig daalgavar
 
11 soril 24_jishig_daalgavar
11 soril 24_jishig_daalgavar11 soril 24_jishig_daalgavar
11 soril 24_jishig_daalgavar
 
11 soril 30_jishig daalgavar
11 soril 30_jishig  daalgavar11 soril 30_jishig  daalgavar
11 soril 30_jishig daalgavar
 
7,8 r angiin suragchidad
7,8 r angiin suragchidad7,8 r angiin suragchidad
7,8 r angiin suragchidad
 
11 soril 29_dungiin jagsaalt
11 soril 29_dungiin jagsaalt11 soril 29_dungiin jagsaalt
11 soril 29_dungiin jagsaalt
 
11 soril 25_jishig daalgavar
11 soril 25_jishig  daalgavar11 soril 25_jishig  daalgavar
11 soril 25_jishig daalgavar
 
10 soril 31_jishig daalgavar
10 soril 31_jishig daalgavar10 soril 31_jishig daalgavar
10 soril 31_jishig daalgavar
 
Soril 28 jishig daalgavar
Soril 28   jishig daalgavarSoril 28   jishig daalgavar
Soril 28 jishig daalgavar
 
Soril 26 jishig daalgavar
Soril 26   jishig daalgavarSoril 26   jishig daalgavar
Soril 26 jishig daalgavar
 
Soril 29 jishig daalgavar
Soril 29 jishig daalgavarSoril 29 jishig daalgavar
Soril 29 jishig daalgavar
 
Toonii onol bodloguud 36
Toonii onol bodloguud 36Toonii onol bodloguud 36
Toonii onol bodloguud 36
 
Toonii onol bodloguud
Toonii onol bodloguudToonii onol bodloguud
Toonii onol bodloguud
 
Bzd standart olimpiad 2013-iin bodloguud
Bzd standart olimpiad 2013-iin bodloguudBzd standart olimpiad 2013-iin bodloguud
Bzd standart olimpiad 2013-iin bodloguud
 
Math sags2012bodloguud
Math sags2012bodloguudMath sags2012bodloguud
Math sags2012bodloguud
 
Soril 27 jishig daalgavar
Soril 27   jishig daalgavarSoril 27   jishig daalgavar
Soril 27 jishig daalgavar
 
11 soril 31_jishig_daalgavar
11 soril 31_jishig_daalgavar11 soril 31_jishig_daalgavar
11 soril 31_jishig_daalgavar
 

More from Baasandorj Baatarhuyag

20067812too toolol
20067812too toolol20067812too toolol
20067812too toolol
Baasandorj Baatarhuyag
 

More from Baasandorj Baatarhuyag (20)

20067812too toolol
20067812too toolol20067812too toolol
20067812too toolol
 
Zunii surgalt 10 zarlal_blogt
Zunii surgalt 10 zarlal_blogtZunii surgalt 10 zarlal_blogt
Zunii surgalt 10 zarlal_blogt
 
Zunii surgalt 10 zarlal_blogt
Zunii surgalt 10 zarlal_blogtZunii surgalt 10 zarlal_blogt
Zunii surgalt 10 zarlal_blogt
 
11 soril 33-dungiin_jagsaalt_analiz
11 soril 33-dungiin_jagsaalt_analiz11 soril 33-dungiin_jagsaalt_analiz
11 soril 33-dungiin_jagsaalt_analiz
 
11 soril 33-dungiin_jagsaalt_analiz
11 soril 33-dungiin_jagsaalt_analiz11 soril 33-dungiin_jagsaalt_analiz
11 soril 33-dungiin_jagsaalt_analiz
 
Zarlal
ZarlalZarlal
Zarlal
 
Tulhuur ih sungaa 2013_hubilbar b
Tulhuur ih sungaa 2013_hubilbar bTulhuur ih sungaa 2013_hubilbar b
Tulhuur ih sungaa 2013_hubilbar b
 
Tulhuur ih sungaa 2013_huvilbar a
Tulhuur ih sungaa 2013_huvilbar aTulhuur ih sungaa 2013_huvilbar a
Tulhuur ih sungaa 2013_huvilbar a
 
Ih sungaa 2013 dungiin jagsaalt
Ih sungaa 2013 dungiin jagsaaltIh sungaa 2013 dungiin jagsaalt
Ih sungaa 2013 dungiin jagsaalt
 
Ih soril hubilbar b_2
Ih soril hubilbar b_2Ih soril hubilbar b_2
Ih soril hubilbar b_2
 
Ih sungaan hubilbar a_2
Ih sungaan hubilbar a_2Ih sungaan hubilbar a_2
Ih sungaan hubilbar a_2
 
Ih soriliin dun 2013.05.25
Ih soriliin dun 2013.05.25Ih soriliin dun 2013.05.25
Ih soriliin dun 2013.05.25
 
Ih soril hubilbar b_2
Ih soril hubilbar b_2Ih soril hubilbar b_2
Ih soril hubilbar b_2
 
Ih soril 31_huvilbar_a
Ih soril 31_huvilbar_aIh soril 31_huvilbar_a
Ih soril 31_huvilbar_a
 
Zarlal ih sungaan math
Zarlal ih sungaan mathZarlal ih sungaan math
Zarlal ih sungaan math
 
Zarlal
ZarlalZarlal
Zarlal
 
зарлал.3
зарлал.3зарлал.3
зарлал.3
 
11 soril 31-dungiin jagsaalt
11 soril 31-dungiin jagsaalt 11 soril 31-dungiin jagsaalt
11 soril 31-dungiin jagsaalt
 
10 soril 32_dungiin jagsaalt
10 soril 32_dungiin jagsaalt10 soril 32_dungiin jagsaalt
10 soril 32_dungiin jagsaalt
 
10 angi soril-30_dunfiin jagsaalt
10 angi soril-30_dunfiin jagsaalt10 angi soril-30_dunfiin jagsaalt
10 angi soril-30_dunfiin jagsaalt
 

Integral 11e daalgavar2

  • 1. Даалгавар-3 Сэдэв. Интеграл Амжилт хүсье! Бодлого 1 1 2 3 9 dx dx ∫ x3dx = ? ∫ x dx = ? ∫ x2 = ? ∫ =? 4 a) b) c) d) 2 −1 1 4 x − 3 Бодлого 2 π π π π 4 2 2 1 dx a) ∫ Sinxdx = ? π b) ∫π Cos 2 x dx = ? c) ∫π Cosx dx = ? d) ∫ π Sin x =?2 − − 2 4 2 4 Бодлого 3 π π π 2 π 3 3 x 5 7 dx a) ∫π Cos 2 x dx = ? b) ∫ 2Sin 3 dx = ? c) ∫  π dx = ? d) ∫ 2 π Cos 3 x =? − π 0 Sin 2  x +  4 2  3 4 Бодлого 4 5 3 2 1 dx dx 5 dx a) ∫ 1 2x −1 =? b) ∫ 1 10 − 3 x =? c) ∫ 0 3 1 − 5x dx = ? d) ∫ 0 4 2x +1 =? 3 Бодлого 5 4 x5 − 3x 4 + x3 − 1 6 x 4 − 4 x3 + 7 x 2 − 1 2 3 a) ∫ dx = ? b) ∫ dx = ? 1 x2 2 x2 −1 −1 5x7 − 4 x6 + 2 x 3x 6 − 4 x5 − 7 x 4 + 3x 2 c) ∫ −2 x3 dx = ? d) ∫ −2 x4 dx = ? 2013.02.19