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$\int\left(x^2+2\right)^2\left(x^4+4\right)^4dx$
Learn how to solve integral calculus problems step by step online. Find the integral of (x^2+2)^2(x^4+4)^4. Find the integral. Rewrite the integrand \left(x^2+2\right)^2\left(x^4+4\right)^4 in expanded form. Expand the integral \int\left(x^{20}+20x^{16}+160x^{12}+640x^{8}+1280x^4+4x^{18}+64x^{14}+384x^{10}+1024x^{6}+1024x^2+1024\right)dx into 11 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int x^{20}dx results in: \frac{x^{21}}{21}.