$\int\frac{1}{x^4-1}dx$

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

Learn how to solve intégrales des fonctions exponentielles problems step by step online. int(1/(x^4-1))dx. Rewrite the expression \frac{1}{x^4-1} inside the integral in factored form. Apply the formula: \int\frac{a}{bc}dx=\frac{1}{c}\int\frac{a}{b}dx, where a=1, b=\left(1+x^2\right)\left(1+x\right)\left(1-x\right) and c=-1. Rewrite the fraction \frac{1}{\left(1+x^2\right)\left(1+x\right)\left(1-x\right)} in 3 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{1}{2\left(1+x^2\right)}+\frac{1}{4\left(1+x\right)}+\frac{1}{4\left(1-x\right)}\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately.