Question

Find the integrals of the function :
${\sin }^{4}x$

Answer 1

The range of $\sin x$ is $[-1,1]$.

Therefore, range of ${\sin }^{4}x$ will be $[0,1]$ because due to even power all the negative values will become positive. Also, since the maximum input for the power function is $1$, it will never exceed this value.