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Rewrite the integrand $\left(x^2+\sin\left(x\right)\right)^2$ in expanded form
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$\int_{0}^{\pi }\left(x^{4}+2x^2\sin\left(x\right)+\sin\left(x\right)^2\right)dx$
Learn how to solve definite integrals problems step by step online. Integrate the function (x^2+sin(x))^2 from 0 to pi. Rewrite the integrand \left(x^2+\sin\left(x\right)\right)^2 in expanded form. Expand the integral \int_{0}^{\pi }\left(x^{4}+2x^2\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. The integral \int_{0}^{\pi } x^{4}dx results in: 61.203937. The integral \int_{0}^{\pi }2x^2\sin\left(x\right)dx results in: 11.739209.