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- Integrate by partial fractions
- Integrate by substitution
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- Integrate using tabular integration
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- Weierstrass Substitution
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- Integrate using basic integrals
- Product of Binomials with Common Term
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Rewrite the expression $\frac{5x+7}{x^2+4x+4}$ inside the integral in factored form
Learn how to solve integrals by partial fraction expansion problems step by step online.
$\int\frac{5x+7}{\left(x+2\right)^{2}}dx$
Learn how to solve integrals by partial fraction expansion problems step by step online. Find the integral int((5x+7)/(x^2+4x+4))dx. Rewrite the expression \frac{5x+7}{x^2+4x+4} inside the integral in factored form. Rewrite the fraction \frac{5x+7}{\left(x+2\right)^{2}} in 2 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{5}{x+2}+\frac{-3}{\left(x+2\right)^{2}}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{5}{x+2}dx results in: 5\ln\left(x+2\right).