Final answer to the problem
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...
Factor the trinomial $x^2+3x-10$ finding two numbers that multiply to form $-10$ and added form $3$
Learn how to solve integrals by partial fraction expansion problems step by step online.
$\begin{matrix}\left(-2\right)\left(5\right)=-10\\ \left(-2\right)+\left(5\right)=3\end{matrix}$
Learn how to solve integrals by partial fraction expansion problems step by step online. Find the integral int((3x-13)/(x^2+3x+-10))dx. Factor the trinomial x^2+3x-10 finding two numbers that multiply to form -10 and added form 3. Rewrite the polynomial as the product of two binomials consisting of the sum of the variable and the found values. Rewrite the fraction \frac{3x-13}{\left(x-2\right)\left(x+5\right)} in 2 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{-1}{x-2}+\frac{4}{x+5}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately.
