Final answer to the problem
Step-by-step Solution
Specify the solving method
Simplifying
Learn how to solve integrals by partial fraction expansion problems step by step online.
$\int\frac{x}{2-x^2}dx$
Learn how to solve integrals by partial fraction expansion problems step by step online. Find the integral int(x/(4^1/2-x^2))dx. Simplifying. Factor the difference of squares 2-x^2 as the product of two conjugated binomials. Rewrite the fraction \frac{x}{\left(\sqrt{2}+x\right)\left(\sqrt{2}-x\right)} in 2 simpler fractions using partial fraction decomposition. Find the values for the unknown coefficients: A, B. The first step is to multiply both sides of the equation from the previous step by \left(\sqrt{2}+x\right)\left(\sqrt{2}-x\right).