Final answer to the problem
$-\frac{1}{8}\cos\left(4x\right)+C_0$
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Step-by-step Solution
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1
Simplify $\cos\left(2x\right)\sin\left(2x\right)$ into $\frac{\sin\left(4x\right)}{2}$ by applying trigonometric identities
$\int\frac{\sin\left(4x\right)}{2}dx$
Learn how to solve trigonometric integrals problems step by step online.
$\int\frac{\sin\left(4x\right)}{2}dx$
Learn how to solve trigonometric integrals problems step by step online. Solve the trigonometric integral int(cos(2x)sin(2x))dx. Simplify \cos\left(2x\right)\sin\left(2x\right) into \frac{\sin\left(4x\right)}{2} by applying trigonometric identities. Take the constant \frac{1}{2} out of the integral. Apply the formula: \int\sin\left(ax\right)dx=-\left(\frac{1}{a}\right)\cos\left(ax\right)+C, where a=4. Simplify the expression.
Final answer to the problem
$-\frac{1}{8}\cos\left(4x\right)+C_0$
