Final Answer
Step-by-step Solution
Specify the solving method
Rewrite the fraction $\frac{3x^3-18x^2+29x-4}{\left(x+1\right)\left(x-2\right)^3}$ in $4$ simpler fractions using partial fraction decomposition
Learn how to solve integrals by partial fraction expansion problems step by step online.
$\frac{3x^3-18x^2+29x-4}{\left(x+1\right)\left(x-2\right)^3}=\frac{A}{x+1}+\frac{B}{\left(x-2\right)^3}+\frac{C}{x-2}+\frac{D}{\left(x-2\right)^{2}}$
Learn how to solve integrals by partial fraction expansion problems step by step online. Find the integral int((3x^3-18x^229x+-4)/((x+1)(x-2)^3))dx. Rewrite the fraction \frac{3x^3-18x^2+29x-4}{\left(x+1\right)\left(x-2\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 \left(x+1\right)\left(x-2\right)^3. Multiplying polynomials. Simplifying.