Question

integrate it:dx/(2cosec.x-sin.x)

Answer 1

\[\int\limits_{?}^{?} [1/ (cosec(x) -\sin(x) ]dx\]

Answer 2

is this the correct equation /?

Answer 3

yes

Answer 4

first convert the cosec to 1 / cosx

Answer 5

sorry 1/ sin x

Answer 6

\[dx \div(2coces.x-\sin.x)\]

Answer 7

then multiply
so you will get (1 - sin^2 x)/Sin x

Answer 8

then

Answer 9

then 1 - sin^2 x = co^2 x

Answer 10

so you will end up with cos^2x /sinx

Answer 11

the end integration will be some thing like \[\int\limits_{?}^{?} ( \cos^2x ) / \sin x dx\]

Answer 12

which can solved easily after that