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- 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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$\int\frac{5x^3+5x}{\left(x^2-x+7\right)^2}dx$
Learn how to solve problems step by step online. Integrate the function (5x^3+5x)/((x^2-x+7)^2). Find the integral. Rewrite the fraction \frac{5x^3+5x}{\left(x^2-x+7\right)^2} in 2 simpler fractions using partial fraction decomposition. Find the values for the unknown coefficients: A, B, C, D. The first step is to multiply both sides of the equation from the previous step by \left(x^2-x+7\right)^2. Multiplying polynomials.