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$\int\left(15\left(a^{2\left(a+1\right)}\right)^3-5a\left(\left(a+1\right)^3\right)^2\right)da$
Learn how to solve integral calculus problems step by step online. Find the integral of 15a^(2(a+1))^3-5a(a+1)^3^2. Find the integral. Simplify the expression inside the integral. The integral \int15a^{6\left(a+1\right)}da results in: \frac{5}{2}\int\left(\frac{u-6}{6}\right)^udu. The integral \int-5a\left(a+1\right)^{6}da results in: -\frac{5}{8}\left(a+1\right)^{8}+\frac{5}{7}\left(a+1\right)^{7}.