Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate by parts
- Integrate by partial fractions
- Integrate by substitution
- 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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Rewrite the integrand $\left(x^2-x-3\right)^3$ in expanded form
Learn how to solve integral calculus problems step by step online.
$\int\left(x^{6}-3x^{5}-6x^{4}+17x^{3}+18x^2-27-27x\right)dx$
Learn how to solve integral calculus problems step by step online. Find the integral int((x^2-x+-3)^3)dx. Rewrite the integrand \left(x^2-x-3\right)^3 in expanded form. Expand the integral \int\left(x^{6}-3x^{5}-6x^{4}+17x^{3}+18x^2-27-27x\right)dx into 7 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int x^{6}dx results in: \frac{x^{7}}{7}. The integral \int-3x^{5}dx results in: -\frac{1}{2}x^{6}.