Final answer to the problem
$174$
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Step-by-step Solution
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- Integrate by substitution
- Integrate by partial fractions
- 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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1
Expand the integral $\int_{3}^{6}\left(3x^2-5\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately
$\int_{3}^{6}3x^2dx+\int_{3}^{6}-5dx$
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$\int_{3}^{6}3x^2dx+\int_{3}^{6}-5dx$
Learn how to solve definite integrals problems step by step online. Integrate the function 3x^2-5 from 3 to 6. Expand the integral \int_{3}^{6}\left(3x^2-5\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{3}^{6}3x^2dx results in: 189. The integral \int_{3}^{6}-5dx results in: -15. Gather the results of all integrals.
Final answer to the problem
$174$
