Final answer to the problem
$\frac{x^{3}}{3}+\frac{1}{2}x^2-6x+5.3357838\ln\left(\frac{x+0.5615528}{\sqrt{-\frac{17}{4}+\left(x-\frac{3}{2}\right)^2}}\right)+14\ln\left(\sqrt{\left(x-\frac{3}{2}\right)^2-\frac{17}{4}}\right)+C_1$
Got another answer? Verify it here!
Step-by-step Solution
How should I solve this problem?
- Integrate by trigonometric substitution
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
- FOIL Method
- Load more...
Can't find a method? Tell us so we can add it.
1
Find the integral
$\int\frac{x^4-2x^3-11x^2+30x-20}{x^2-3x-2}dx$
Learn how to solve problems step by step online.
$\int\frac{x^4-2x^3-11x^2+30x-20}{x^2-3x-2}dx$
Learn how to solve problems step by step online. Integrate the function (x^4-2x^3-11x^230x+-20)/(x^2-3x+-2). Find the integral. Divide x^4-2x^3-11x^2+30x-20 by x^2-3x-2. Resulting polynomial. Expand the integral \int\left(x^{2}+x-6+\frac{14x-32}{x^2-3x-2}\right)dx into 4 integrals using the sum rule for integrals, to then solve each integral separately.
Final answer to the problem
$\frac{x^{3}}{3}+\frac{1}{2}x^2-6x+5.3357838\ln\left(\frac{x+0.5615528}{\sqrt{-\frac{17}{4}+\left(x-\frac{3}{2}\right)^2}}\right)+14\ln\left(\sqrt{\left(x-\frac{3}{2}\right)^2-\frac{17}{4}}\right)+C_1$