Question

integrate dx/(1-cosx)

Answer 1

dammit!!!! omg you read my mind lmao.

Answer 2

another way is to use double angle formula.
cos 2x =... ?

Answer 3

@shamim several methods are being shown here, which way you would like to proceed ?

Answer 4

I dropped mine. Only gets more convoluted.

Answer 5

confused

Answer 6

do u know integration of cosec^2 x ?

Answer 7

no

Answer 8

i'll tell you
before that can you tell me all formulas for cos 2x that you know ?

Answer 9

\[\large \int \cfrac{1}{1- \cos(x)}dx\]\[\large \int \cfrac{1}{1- \cos(x)} \cdot \cfrac{1+ \cos(x)}{1+ \cos(x)}\]\[\large \int \cfrac{1+ \cos(x)}{1- \cos^2 (x)}dx\]\[\large \int \cfrac{1+ \cos(x)}{ \sin^2 (x)}dx\]

Answer 10

go on @Jhannybean

Answer 11

i m getting ur solution

Answer 12

@Jhannybean

Answer 13

rewrite \( \sin^2(x)\) as \( \csc^2 (x)\) and integrate.

Answer 14

please show every steps

Answer 15

sorry

Answer 16

Try it out. Integrate \[\large \int (1+ \cos(x))( \csc^2 (x))dx\] You can do it :) Tell me what you get and i'll check with my methods of solving the problem

Answer 17

then

Answer 18

i m not able to do this integration

Answer 19

Yes,you can do it... distribute csc^2(x).What do you get?

Answer 20

bt i understood ur steps

Answer 21

show plz

Answer 22

I've got to head off the computer, @hartnn can help you finish :D

Answer 23

@shamim why don't you atleast give a shot,
whats (cosec^2 x)(1+cos x) =... ?
u know basic trigonometric identities, right ?

Answer 24

\[cosec ^{2}x+cosec ^{2}x cosx\]

Answer 25

From WolframAlpha: