Learn how to solve special products problems step by step online. Integrate the function 3x^3-x^2-10x-(2x-x^2) from 0 to 2. Rewrite the expression 3x^3-x^2-10x-\left(2x-x^2\right) inside the integral in factored form. The integral of a constant times a function is equal to the constant multiplied by the integral of the function. Rewrite the integrand x\left(x+2\right)\left(x-2\right) in expanded form. Expand the integral \int_{0}^{2}\left(x^{3}-4x\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately.

Integrate the function 3x^3-x^2-10x-(2x-x^2) from 0 to 2