Question

integerate cos^(-1)dx

Answer 1

let I = ∫cos^-1(x)dx

let u = cos^-1(x), then du = -1/sqrt(1-x^2)
let dv = dx, then v = x

and substitute into the integration by parts formula, it should simplify down to:

I = xcos^-1(x) + ∫x/sqrt(1-x^2)dx

now let u = 1-x^2, then du = -2xdx, and xdx = -1/2du

I = xcos^-1(x) -1/2 ∫du/sqrt(u)

I = xcos^-1(x) -sqrt(u) + c

I = xcos^-1(x) -sqrt(1-x^2) + c

Answer 2

thanks

Answer 3

@╰☆╮Openstudier╰☆╮
whats the source ??

Answer 4

copied from yahoo lol @@╰☆╮Openstudier╰☆╮

Answer 5

Yes i forgot to mention i took it from yahoo answers
I know only differentiatiom not integration

Answer 6

its always good to cite the source, else its called plagiarism! which is against the code of conduct.

Answer 7

u dont need to know integration from 10th grade for IIT @╰☆╮Openstudier╰☆╮

Answer 8

We r learning it tommorow!

Answer 9

by the way u are from ?@╰☆╮Openstudier╰☆╮

Answer 10

I am from mumbai u?

Answer 11

live in kharagpur but from kolkata

Answer 12

u r an iitian

Answer 13

studying in 3rd year

Answer 14

b. tech in ... ?

Answer 15

i think hartn is too from kharagpur

Answer 16

ya b.tech in

Answer 17

EEE(electrical and electronics )