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- Integrate by partial fractions
- Integrate by substitution
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- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
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- Integrate using basic integrals
- Product of Binomials with Common Term
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Rewrite the expression $\frac{x+2}{x^2+3x-4}$ inside the integral in factored form
Learn how to solve definite integrals problems step by step online.
$\int_{2}^{4}\frac{x+2}{\left(x-1\right)\left(x+4\right)}dx$
Learn how to solve definite integrals problems step by step online. Integrate the function (x+2)/(x^2+3x+-4) from 2 to 4. Rewrite the expression \frac{x+2}{x^2+3x-4} inside the integral in factored form. Rewrite the fraction \frac{x+2}{\left(x-1\right)\left(x+4\right)} in 2 simpler fractions using partial fraction decomposition. Expand the integral \int_{2}^{4}\left(\frac{3}{5\left(x-1\right)}+\frac{2}{5\left(x+4\right)}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{2}^{4}\frac{3}{5\left(x-1\right)}dx results in: \frac{3}{5}\ln\left(3\right).
