Final answer to the problem
$223578.8190476$
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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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1
Rewrite the expression $\left(6x+1\right)\left(2x^3+x\right)^2$ inside the integral in factored form
$\int_{0}^{4}\left(6x+1\right)x^2\left(2x^2+1\right)^2dx$
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$\int_{0}^{4}\left(6x+1\right)x^2\left(2x^2+1\right)^2dx$
Learn how to solve problems step by step online. Integrate the function (6x+1)(2x^3+x)^2 from 0 to 4. Rewrite the expression \left(6x+1\right)\left(2x^3+x\right)^2 inside the integral in factored form. Expand the expression \left(2x^2+1\right)^2 using the square of a binomial: (a+b)^2=a^2+2ab+b^2. Multiplying polynomials 6x+1 and 4x^{4}+4x^2+1. Solve the product 4\left(6x+1\right)x^{4}.
Final answer to the problem
$223578.8190476$