## anonymous 5 years ago integral from 0 to 1 of cos(arcsinx)

1. anonymous

Let $\theta =\sin^{-1} x$

2. anonymous

Therefore $x/1=\sin \theta =opp/hyp$Draw my triangle x is opp, 1 hyp, sq rt (1-x^2) adj

3. anonymous

From that triangle you have info to find cos theta which you would integrate

4. anonymous

do you integrate cos theta or cos (sqrt(1-x^2)) ?

5. anonymous

cos theta in and of itself does not contain the info in your problem. However cos theta (which essentially is your problem) is equal to sq root (1-x^2) which contains all relevant info. So integrate sq rt (1-x^2).

6. anonymous

how do you integrate sq rt(1-x^2)?

7. anonymous

You have to find relevant trig sub.

8. anonymous

Your instructor gives very interesting problems. What school? what course?

9. anonymous

University of Miami: Calculus II

10. anonymous

Go 'Canes

11. anonymous

Lol! Thanks