Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate by trigonometric substitution
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
- FOIL Method
- Load more...
Find the integral
Learn how to solve integral calculus problems step by step online.
$\int x\left(3\left(x-1\right)\left(x-2\right)+2x\left(x+7\right)\right)dx$
Learn how to solve integral calculus problems step by step online. Integrate the function x(3(x-1)(x-2)+2x(x+7)). Find the integral. Rewrite the integrand x\left(3\left(x-1\right)\left(x-2\right)+2x\left(x+7\right)\right) in expanded form. Expand the integral \int\left(5x^{3}+5x^2+6x\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int5x^{3}dx results in: \frac{5}{4}x^{4}.