Exercise
$\int\frac{x}{5x^4-5}dx$
Step-by-step Solution
Learn how to solve polynomial factorization problems step by step online. Find the integral int(x/(5x^4-5))dx. Rewrite the expression \frac{x}{5x^4-5} inside the integral in factored form. Take the constant \frac{1}{-5} out of the integral. Rewrite the fraction \frac{x}{\left(1+x^2\right)\left(1+x\right)\left(1-x\right)} in 3 simpler fractions using partial fraction decomposition. Simplify the expression.
Find the integral int(x/(5x^4-5))dx
Final answer to the exercise
$-\frac{1}{20}\ln\left|1+x^2\right|+\frac{1}{20}\ln\left|x+1\right|+\frac{1}{20}\ln\left|-x+1\right|+C_0$