Exercise
$\int\left(3x^3+5\right)^2dx$
Step-by-step Solution
Learn how to solve simplification of algebraic expressions problems step by step online. Find the integral int((3x^3+5)^2)dx. Rewrite the integrand \left(3x^3+5\right)^2 in expanded form. Expand the integral \int\left(9x^{6}+30x^3+25\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int9x^{6}dx results in: \frac{9}{7}x^{7}. The integral \int30x^3dx results in: \frac{15}{2}x^{4}.
Find the integral int((3x^3+5)^2)dx
Final answer to the exercise
$\frac{9}{7}x^{7}+\frac{15}{2}x^{4}+25x+C_0$