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When multiplying two powers that have the same base ($\sin\left(x\right)$), you can add the exponents
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$\int\sin\left(x\right)^2dx$
Learn how to solve trigonometric integrals problems step by step online. Solve the trigonometric integral int(sin(x)sin(x))dx. When multiplying two powers that have the same base (\sin\left(x\right)), you can add the exponents. Rewrite the trigonometric expression \sin\left(x\right)^2 inside the integral. Take the constant \frac{1}{2} out of the integral. Simplify the expression inside the integral.