Question

integral from 0 to 1 of cos(arcsinx)

Answer 1

Let \[\theta =\sin^{-1} x\]

Answer 2

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

Answer 3

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

Answer 4

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

Answer 5

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).

Answer 6

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

Answer 7

You have to find relevant trig sub.

Answer 8

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

Answer 9

University of Miami: Calculus II

Answer 10

Go 'Canes

Answer 11

Lol! Thanks