Upcoming SlideShare
×

# Cálculo II: Aula 9 - Integrais que resultam em funções trigonométricas inversas

1,565

Published on

0 Likes
Statistics
Notes
• Full Name
Comment goes here.

Are you sure you want to Yes No
• Be the first to comment

• Be the first to like this

Views
Total Views
1,565
On Slideshare
0
From Embeds
0
Number of Embeds
1
Actions
Shares
0
6
0
Likes
0
Embeds 0
No embeds

No notes for slide

### Cálculo II: Aula 9 - Integrais que resultam em funções trigonométricas inversas

1. 1. Aula 9 - Integral que resultam em trigonom´tricas e inversas Willian Vieira de Paula 4 de abril de 2012 Willian Vieira de Paula Aula 9 - Integral que resultam em trigonom´tricas inve e
2. 2. Lembramos que d(arcsenx) 1 =√ , |x| < 1; dx 1 − x2 d(arccosx) 1 = −√ , |x| < 1; dx 1 − x2 d(arcsecx) 1 = √ , |x| > 1; dx |x| x 2 − 1 d(arccosecx) 1 =− √ , |x| > 1; dx |x| x 2 − 1 d(arctgx) 1 = ; dx 1 + x2 d(arccotgx) 1 =− ; dx 1 + x2 Willian Vieira de Paula Aula 9 - Integral que resultam em trigonom´tricas inve e
3. 3. Assim 1 √ dx = arcsenx + C |x| < 1; 1 − x2 1 √ dx = arcsecx + C , x > 1; x x2 − 1 1 dx = arctgx + C . 1 + x2 Willian Vieira de Paula Aula 9 - Integral que resultam em trigonom´tricas inve e
1. #### A particular slide catching your eye?

Clipping is a handy way to collect important slides you want to go back to later.