Final answer to the problem
Step-by-step Solution
Specify the solving method
Rewrite the fraction $\frac{3x}{\left(x^2+2\right)\left(x+2\right)^2}$ in $3$ simpler fractions using partial fraction decomposition
Learn how to solve problems step by step online.
$\frac{3x}{\left(x^2+2\right)\left(x+2\right)^2}=\frac{Ax+B}{x^2+2}+\frac{C}{\left(x+2\right)^2}+\frac{D}{x+2}$
Learn how to solve problems step by step online. Find the integral int((3x)/((x^2+2)(x+2)^2))dx. Rewrite the fraction \frac{3x}{\left(x^2+2\right)\left(x+2\right)^2} in 3 simpler fractions using partial fraction decomposition. Find the values for the unknown coefficients: A, B, C, D. The first step is to multiply both sides of the equation from the previous step by \left(x^2+2\right)\left(x+2\right)^2. Multiplying polynomials. Simplifying.