Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Choose an option
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
- Load more...
Rewrite the fraction $\frac{5x^2+6x-8}{\left(x-6\right)\left(x-2\right)^4\left(x+1\right)^3}$ in $8$ simpler fractions using partial fraction decomposition
Learn how to solve integrals by partial fraction expansion problems step by step online.
$\frac{5x^2+6x-8}{\left(x-6\right)\left(x-2\right)^4\left(x+1\right)^3}=\frac{A}{x-6}+\frac{B}{\left(x-2\right)^4}+\frac{C}{\left(x+1\right)^3}+\frac{D}{x-2}+\frac{F}{\left(x-2\right)^{2}}+\frac{G}{\left(x-2\right)^{3}}+\frac{H}{x+1}+\frac{I}{\left(x+1\right)^{2}}$
Learn how to solve integrals by partial fraction expansion problems step by step online. Find the integral int((5x^2+6x+-8)/((x-6)(x-2)^4(x+1)^3))dx. Rewrite the fraction \frac{5x^2+6x-8}{\left(x-6\right)\left(x-2\right)^4\left(x+1\right)^3} in 8 simpler fractions using partial fraction decomposition. Find the values for the unknown coefficients: A, B, C, D, F, G, H, I. The first step is to multiply both sides of the equation from the previous step by \left(x-6\right)\left(x-2\right)^4\left(x+1\right)^3. Multiplying polynomials. Simplifying.