Final answer to the problem
$x+\arctan\left(\frac{x}{2}\right)-5\ln\left|\sqrt{x^2+4}\right|+C_1$
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Step-by-step Solution
How should I solve this problem?
- Integrate using basic integrals
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Product of Binomials with Common Term
- FOIL Method
- Load more...
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1
Find the integral
$\int\frac{x^2-5x+6}{x^2+4}dx$
Learn how to solve integral calculus problems step by step online.
$\int\frac{x^2-5x+6}{x^2+4}dx$
Learn how to solve integral calculus problems step by step online. Integrate the function (x^2-5x+6)/(x^2+4). Find the integral. Divide x^2-5x+6 by x^2+4. Resulting polynomial. Expand the integral \int\left(1+\frac{-5x+2}{x^2+4}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately.
Final answer to the problem
$x+\arctan\left(\frac{x}{2}\right)-5\ln\left|\sqrt{x^2+4}\right|+C_1$
