Final answer to the problem
$\frac{1}{2}x^2+2x^{3}+12x+C_0$
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Step-by-step Solution
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- Integrate by partial fractions
- Integrate by substitution
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- Integrate using tabular integration
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- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
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1
Solve the product $2\left(3x^2+6\right)$
$\int\left(x+6x^2+12\right)dx$
Learn how to solve differential equations problems step by step online.
$\int\left(x+6x^2+12\right)dx$
Learn how to solve differential equations problems step by step online. Integrate int(x+2(3x^2+6))dx. Solve the product 2\left(3x^2+6\right). Expand the integral \int\left(x+6x^2+12\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int xdx results in: \frac{1}{2}x^2. The integral \int6x^2dx results in: 2x^{3}.
Final answer to the problem
$\frac{1}{2}x^2+2x^{3}+12x+C_0$
