Help please?

find the indefinite integral and check the result by differentiation. integrate (cos x / 1-cos^2 x) dx

Question

Help please?

find the indefinite integral and check the  result by differentiation. integrate (cos x / 1-cos^2  x) dx

anonymous · Answer

@ganeshie8  could you help me with this one please?

ganeshie8 · Answer

simplify denominator first... 
use below identity :
sin^2x + cos^2x  = 1

anonymous · Answer

integral (cos x/sin ^2 x)dx
put sin x=t 
cosx dx=dt

ganeshie8 · Answer

you may do that, 
or after simplification if u remember the derivative of csc x, that works too...
pen down and start messing wid it a bit :)

anonymous · Answer

I got a little confused.. just to make sure the integral becomes (cos x/ sin^2 x) dx right?

ganeshie8 · Answer

thats right