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Integrate 1/((x-1)(x+2)) from 2 to 5

\int_{2}^{5}\frac{1}{\left(x-1\right)\left(x+2\right)}dx

Step by step solution

Problem

$\int_{2}^{5}\frac{1}{\left(x-1\right)\left(x+2\right)}dx$

Show full step-by-step solution

Answer

$\frac{62}{225}$

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$\int_{2}^{5}\frac{1}{\left(x-1\right)\left(x+2\right)}dx$

Main topic:

Integrals by partial fraction expansion

Used formulas:

1. See formulas

Time to solve it:

0.34 seconds