Final answer to the problem
Step-by-step Solution
Specify the solving method
Factor the difference of squares $x^2-10$ as the product of two conjugated binomials
Learn how to solve integrals by partial fraction expansion problems step by step online.
$\int\frac{x}{\left(x+\sqrt{10}\right)\left(x-\sqrt{10}\right)}dx$
Learn how to solve integrals by partial fraction expansion problems step by step online. Find the integral int(x/(x^2-10))dx. Factor the difference of squares x^2-10 as the product of two conjugated binomials. Rewrite the fraction \frac{x}{\left(x+\sqrt{10}\right)\left(x-\sqrt{10}\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(x+\sqrt{10}\right)\left(x-\sqrt{10}\right). Multiplying polynomials.