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$\int3\left(x^3+5x\right)^6dx$
Learn how to solve problems step by step online. Find the integral of y=3(x^3+5x)^6. Find the integral. Rewrite the integrand 3\left(x^3+5x\right)^6 in expanded form. Expand the integral \int\left(3x^{18}+90x^{16}+1125x^{14}+7500x^{12}+28125x^{10}+56250x^{8}+46875x^{6}\right)dx into 7 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int3x^{18}dx results in: \frac{3}{19}x^{19}.