Integrate the following expressions with respect to $x$: $\cos^2 4x + \tan^2 5x$ \(\cos^2 5x - \

Question

Integrate the following expressions with respect to $x$: $\cos^2 4x + \tan^2 5x$ $\cos^2 5x - \sin^2 5x$ $\frac{\sin^2 3x + 5}{\cos^2 3x}$

Accepted Answer

(a) $\frac1{16}\sin8x+\frac15\tan5x-\frac12x+C$. (b) $\frac1{10}\sin10x+C$. (c) $2\tan3x-x+C$.

Integration