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Rewrite the integrand $\left(x+\sin\left(x\right)\right)^2$ in expanded form
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$\int\left(x^2+2x\sin\left(x\right)+\sin\left(x\right)^2\right)dx$
Learn how to solve trigonometric integrals problems step by step online. Solve the trigonometric integral int((x+sin(x))^2)dx. Rewrite the integrand \left(x+\sin\left(x\right)\right)^2 in expanded form. Expand the integral \int\left(x^2+2x\sin\left(x\right)+\sin\left(x\right)^2\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. We can solve the integral \int2x\sin\left(x\right)dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify u and calculate du.