Final Answer
Step-by-step Solution
Specify the solving method
We could not solve this problem by using the method: Integrate by trigonometric substitution
Divide $x^3$ by $x^2+3x-4$
Learn how to solve differential equations problems step by step online.
$\begin{array}{l}\phantom{\phantom{;}x^{2}+3x\phantom{;}-4;}{\phantom{;}x\phantom{;}-3\phantom{;}\phantom{;}}\\\phantom{;}x^{2}+3x\phantom{;}-4\overline{\smash{)}\phantom{;}x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{\phantom{;}x^{2}+3x\phantom{;}-4;}\underline{-x^{3}-3x^{2}+4x\phantom{;}\phantom{-;x^n}}\\\phantom{-x^{3}-3x^{2}+4x\phantom{;};}-3x^{2}+4x\phantom{;}\phantom{-;x^n}\\\phantom{\phantom{;}x^{2}+3x\phantom{;}-4-;x^n;}\underline{\phantom{;}3x^{2}+9x\phantom{;}-12\phantom{;}\phantom{;}}\\\phantom{;\phantom{;}3x^{2}+9x\phantom{;}-12\phantom{;}\phantom{;}-;x^n;}\phantom{;}13x\phantom{;}-12\phantom{;}\phantom{;}\\\end{array}$
Learn how to solve differential equations problems step by step online. Find the integral int((x^3)/(x^2+3x+-4))dx. Divide x^3 by x^2+3x-4. Resulting polynomial. Expand the integral \int\left(x-3+\frac{13x-12}{x^2+3x-4}\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int xdx results in: \frac{1}{2}x^2.