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Exercise

$\int\sin5x\cdot\cos\left(x\right)dx$
1

Simplify $\sin\left(5x\right)\cos\left(x\right)$ into $\frac{\sin\left(6x\right)+\sin\left(4x\right)}{2}$ by applying trigonometric identities

$\int\frac{\sin\left(6x\right)+\sin\left(4x\right)}{2}dx$

Final answer to the exercise

$\int\frac{\sin\left(6x\right)+\sin\left(4x\right)}{2}dx$

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