Question

intigrate with respect to x
1/cosecx(sin^2x + cos^2x) dx
​

Answer 1

We know that

${ \sin(x) }^{2} + { \cos(x) }^{2} = 1$

and

$\frac{1}{ \csc(x) } = \sin(x)$

Given

$\int \frac{1}{ { \csc(x) ( \sin(x) }^{2} + { \cos(x)) }^{2} } dx$

on putting above formula and doing above intigration we get

$\int \sin(x) dx$

- cosx + C