Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
- FOIL Method
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Simplifying
Learn how to solve definite integrals problems step by step online.
$\int_{\frac{1}{2}}^{\frac{3}{2}}\left(x^2+x+1\right)dx$
Learn how to solve definite integrals problems step by step online. Integrate the function x^2+x+1 from 1/2 to 3/2. Simplifying. Expand the integral \int_{\frac{1}{2}}^{\frac{3}{2}}\left(x^2+x+1\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{\frac{1}{2}}^{\frac{3}{2}} x^2dx results in: \frac{13}{12}. The integral \int_{\frac{1}{2}}^{\frac{3}{2}} xdx results in: 1.