1. NAMA : YOSAFAT E.L. HOELY
NIM : 12110056
PRODI : SISTIM INFORMASI
TUGAS KALKULUS II
1. ∫(X + 3X ‐ 8X + 15)dx
7 6
= x8 + x7 ‐ x2 + 5x + c
= x8 + x7 ‐ 4x2 + 5x + c
2. ∫( x4 ‐ 12X2+ X + 6)dx = x4 ‐ x3 + x2 + 6x + c
= x4 ‐ 4x3 + x2 + 6x + c
3. ∫(x 1/3
+ 4x 2/5 )dx = x 4/3 + x 20/7 + c
4. ∫(x – 1)4 dx
Misalnya, U = x ‐1 maka du/dx = x
dx = du/x
∫ 4
jadi, (x – 1) dx = ∫U4 du/x
= ½ . ⅕ . U5 + c
= 1/10 (x‐1)5 + c
big.yozhy@gmail.com

2. NAMA : YOSAFAT E.L. HOELY
NIM : 12110056
PRODI : SISTIM INFORMASI
5. ∫ dx = x ∫ 2/4 dx
= x 2/4 + 1 + c
= x6/4 + c
= x6/4 + c
= x6/4 + c
6. ∫x (6x2 – 5)4 dx
Penyelesaian :
Misalnya, U = 6x2 – 5 maka du/dx = 12x
du = 12x dx
du = x dx
∫ x (6x2 – 5)4 dx = ∫u4 .
Jadi, du
= ∫u4 du
= . u5 + c
= (6x2 – 5)5 + c
big.yozhy@gmail.com

3. NAMA : YOSAFAT E.L. HOELY
NIM : 12110056
PRODI : SISTIM INFORMASI
7. ∫ x5 (5x6 – 2)7 dx
Penyelesaian :
5
Misalnya, U = 5x6 – 2 maka du/dx = 30x
5
X dx = du
∫ x5 (5x6 – 2)7 dx = ∫
Jadi, u7du
= ∫u7 du
= . u8 + c
= (5x6 – 2)8 + c
big.yozhy@gmail.com