Final answer to the problem
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
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Find the integral
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$\int\left(x^2+8x+15\right)^3dx$
Learn how to solve problems step by step online. Integrate the function (x^2+8x+15)^3. Find the integral. Rewrite the integrand \left(x^2+8x+15\right)^3 in expanded form. Expand the integral \int\left(x^{6}+24x^{5}+237x^{4}+1232x^{3}+3555x^2+3375+5400x\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}.