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Simplify $\cos\left(5x\right)\sin\left(5x\right)$ into $\frac{1}{2}\sin\left(10x\right)$ by applying trigonometric identities
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$\int\frac{1}{2}\sin\left(10x\right)dx$
Learn how to solve trigonometric integrals problems step by step online. Solve the trigonometric integral int(cos(5x)sin(5x))dx. Simplify \cos\left(5x\right)\sin\left(5x\right) into \frac{1}{2}\sin\left(10x\right) by applying trigonometric identities. The integral of a function times a constant (\frac{1}{2}) is equal to the constant times the integral of the function. Apply the formula: \int\sin\left(ax\right)dx=-\left(\frac{1}{a}\right)\cos\left(ax\right)+C, where a=10. Simplify the expression.
