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$\int\left(x^2+8x+15\right)^3dx$
Learn how to solve integral calculus problems step by step online. Find the integral of (x^2+8x+15)^3. Find the integral. Rewrite the integrand \left(x^2+8x+15\right)^3 in expanded form. Expand the integral \int\left(x^{6}+24x^{5}+237x^{4}+1232x^{3}+3555x^2+3375+5400x\right)dx into 7 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int x^{6}dx results in: \frac{x^{7}}{7}.