Learn how to solve problems step by step online. Find the integral int(6/5(3x+2)^7)dx. Rewrite the integrand \frac{6}{5}\left(3x+2\right)^7 in expanded form. Expand the integral \int\left(\frac{13122}{5}x^{7}+\frac{61236}{5}x^{6}+\frac{122472}{5}x^{5}+27216x^{4}+18144x^{3}+\frac{36288}{5}x^{2}+\frac{8064}{5}x+\frac{768}{5}\right)dx into 8 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{13122}{5}x^{7}dx results in: \frac{6561}{20}x^{8}. The integral \int\frac{61236}{5}x^{6}dx results in: \frac{8748}{5}x^{7}.

Find the integral int(6/5(3x+2)^7)dx