Final answer to the problem
$-\frac{32}{3}$
Got another answer? Verify it here!
Step-by-step Solution
How should I solve this problem?
- Integrate using basic integrals
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Product of Binomials with Common Term
- FOIL Method
- Load more...
Can't find a method? Tell us so we can add it.
1
Expand the integral $\int_{-3}^{1}\left(x^2+5x\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately
$\int_{-3}^{1} x^2dx+\int_{-3}^{1}5xdx$
Learn how to solve definite integrals problems step by step online.
$\int_{-3}^{1} x^2dx+\int_{-3}^{1}5xdx$
Learn how to solve definite integrals problems step by step online. Integrate the function x^2+5x from -3 to 1. Expand the integral \int_{-3}^{1}\left(x^2+5x\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{-3}^{1} x^2dx results in: \frac{28}{3}. The integral \int_{-3}^{1}5xdx results in: -20. Gather the results of all integrals.
Final answer to the problem
$-\frac{32}{3}$
Exact Numeric Answer
$-10.666667$
