Exercise
$\int\left(x^3-2x^2\right)\left(3x^2-2\right)dx$
Step-by-step Solution
Learn how to solve one-variable linear inequalities problems step by step online. Find the integral int((x^3-2x^2)(3x^2-2))dx. Rewrite the expression \left(x^3-2x^2\right)\left(3x^2-2\right) inside the integral in factored form. Multiplying polynomials x^2 and x-2. Multiply the single term 3x^2-2 by each term of the polynomial \left(x^2x-2x^2\right). When multiplying exponents with same base you can add the exponents: x^2x\left(3x^2-2\right).
Find the integral int((x^3-2x^2)(3x^2-2))dx
Final answer to the exercise
$\frac{1}{2}x^{6}-\frac{1}{2}x^{4}-\frac{6}{5}x^{5}+\frac{4}{3}x^{3}+C_0$