Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate by parts
- Integrate by partial fractions
- Integrate by substitution
- 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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Take out the constant $10$ from the integral
Learn how to solve integrals of rational functions problems step by step online.
$10\int\frac{x}{x^2+7x+6}dx$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((10x)/(x^2+7x+6))dx. Take out the constant 10 from the integral. Rewrite the fraction \frac{x}{x^2+7x+6} inside the integral as the product of two functions: x\frac{1}{x^2+7x+6}. We can solve the integral \int x\frac{1}{x^2+7x+6}dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify or choose u and calculate it's derivative, du.