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Integral of 1/(2x-3+x^2)

\int\frac{1}{x^2+2x-3}dx

Step by step solution

Problem

$\int\frac{1}{x^2+2x-3}dx$

Show full step-by-step solution

Answer

$-\frac{1}{4}\ln\left|3+x\right|+\frac{1}{4}\ln\left|x-1\right|+C_0$
$\int\frac{1}{x^2+2x-3}dx$

Main topic:

Integrals by partial fraction expansion

Used formulas:

2. See formulas

Time to solve it:

0.31 seconds