Exercise
$\int x^3\left(2x^2-3\right)dx$
Step-by-step Solution
Learn how to solve problems step by step online. Find the integral int(x^3(2x^2-3))dx. Rewrite the integrand x^3\left(2x^2-3\right) in expanded form. Expand the integral \int\left(2x^{5}-3x^3\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int2x^{5}dx results in: \frac{1}{3}x^{6}. The integral \int-3x^3dx results in: -\frac{3}{4}x^{4}.
Find the integral int(x^3(2x^2-3))dx
Final answer to the exercise
$\frac{1}{3}x^{6}-\frac{3}{4}x^{4}+C_0$