Final answer to the problem
$\frac{17}{6}x^2+\frac{119}{3}x+C_0$
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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
Rewrite the expression $\frac{10}{3}\left(x+7\right)+\frac{7}{3}\left(x+7\right)$ inside the integral in factored form
Learn how to solve quadratic equations problems step by step online.
$\int\frac{17}{3}\left(x+7\right)dx$
Learn how to solve quadratic equations problems step by step online. Integrate int(10/3(x+7)+7/3(x+7))dx. Rewrite the expression \frac{10}{3}\left(x+7\right)+\frac{7}{3}\left(x+7\right) inside the integral in factored form. Multiply the single term \frac{17}{3} by each term of the polynomial \left(x+7\right). Simplifying. Expand the integral \int\left(\frac{17}{3}x+\frac{119}{3}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately.
Final answer to the problem
$\frac{17}{6}x^2+\frac{119}{3}x+C_0$
