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$\int\left(x^2+2x+2\right)^2dx$
Learn how to solve problems step by step online. Integrate the function (x^2+2x+2)^2. Find the integral. Rewrite the integrand \left(x^2+2x+2\right)^2 in expanded form. Expand the integral \int\left(x^{4}+4x^{3}+8x^2+8x+4\right)dx into 5 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int x^{4}dx results in: \frac{x^{5}}{5}.