Final Answer
Step-by-step Solution
Specify the solving method
Rewrite the fraction $\frac{3x^3-8x^2+10}{x\left(x-1\right)^3}$ in $4$ simpler fractions using partial fraction decomposition
Learn how to solve problems step by step online.
$\frac{3x^3-8x^2+10}{x\left(x-1\right)^3}=\frac{A}{x}+\frac{B}{\left(x-1\right)^3}+\frac{C}{x-1}+\frac{D}{\left(x-1\right)^{2}}$
Learn how to solve problems step by step online. Find the integral int((3x^3-8x^2+10)/(x(x-1)^3))dx. Rewrite the fraction \frac{3x^3-8x^2+10}{x\left(x-1\right)^3} in 4 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 x\left(x-1\right)^3. Multiply both sides of the equality by 1 to simplify the fractions. Multiplying polynomials.