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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Rewrite the fraction $\frac{x}{x^2+5x+6}$ inside the integral as the product of two functions: $x\frac{1}{x^2+5x+6}$
Learn how to solve integral calculus problems step by step online.
$\int_{3}^{6} x\frac{1}{x^2+5x+6}dx$
Learn how to solve integral calculus problems step by step online. Integrate the function x/(x^2+5x+6) from 3 to 6. Rewrite the fraction \frac{x}{x^2+5x+6} inside the integral as the product of two functions: x\frac{1}{x^2+5x+6}. We can solve the integral \int x\frac{1}{x^2+5x+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. Now, identify dv and calculate v.