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\int\cos\left(x\right)^2\sin\left(x\right)^2dx

Integrate cos(x)^2sin(x)^2

Answer

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

Step-by-step explanation

Problem

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

Applying the trigonometric identity: $\sin^2(\theta)=1-\cos(\theta)^2$

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

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Answer

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