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\int\sin\left(2x\right)\cdot\tan\left(2x\right)dx

Integrate sin(2x)tan(2x)

Answer

$4\int\frac{\cos\left(x\right)^2\sin\left(x\right)^2}{\cos\left(2x\right)}dx$

Step-by-step explanation

Problem

$\int\sin\left(2x\right)\cdot\tan\left(2x\right)dx$
1

Applying the tangent identity: $\displaystyle\tan\left(\theta\right)=\frac{\sin\left(\theta\right)}{\cos\left(\theta\right)}$

$\int\frac{\sin\left(2x\right)}{\cos\left(2x\right)}\sin\left(2x\right)dx$

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Answer

$4\int\frac{\cos\left(x\right)^2\sin\left(x\right)^2}{\cos\left(2x\right)}dx$