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Exercise

$\int\sec\left(x\right)^2\cos\left(2x\right)dx$
1

Simplify $\sec\left(x\right)^2\cos\left(2x\right)$ into $\sec\left(x\right)^2-2\tan\left(x\right)^2$ by applying trigonometric identities

$\int\left(\sec\left(x\right)^2-2\tan\left(x\right)^2\right)dx$

Final answer to the exercise

$\int\left(\sec\left(x\right)^2-2\tan\left(x\right)^2\right)dx$

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