$\int\frac{dx}{1+cos^2x}$
$\int\frac{1}{\sin\left(x\right)-\cos\left(x\right)}dx$
$\int\sec^4xdx$
$\int cos^23xdx$
$\int\sin^4\left(7x-2\right)dx$
$\int\cos^6\left(x\right)dx$
Integrals that contain trigonometric functions and their powers.
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