Question

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

Answer 1

We know that

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

and

$\frac{1}{ \sec(x) } = \cos(x)$

Now given

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

On putting above formula and solving we get

$\int \: \cos(x) dx \\ \sin(x) + c$