Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate using trigonometric identities
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using basic integrals
- Product of Binomials with Common Term
- FOIL Method
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Find the integral
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$\int\left(\left(x^3+8x^2+16x\right)\left(x+4\right)+\left(x^3+8x^2+16x\right)\left(x+4\right)\right)dx$
Learn how to solve integral calculus problems step by step online. Integrate the function (x^3+8x^216x)(x+4)+(x^3+8x^216x)(x+4). Find the integral. Combining like terms \left(x^3+8x^2+16x\right)\left(x+4\right) and \left(x^3+8x^2+16x\right)\left(x+4\right). The integral of a function times a constant (2) is equal to the constant times the integral of the function. Rewrite the expression \left(x^3+8x^2+16x\right)\left(x+4\right) inside the integral in factored form.