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...
Divide $36x^4-109x^2+25$ by $2x+1$
Learn how to solve problems step by step online.
$\begin{array}{l}\phantom{\phantom{;}2x\phantom{;}+1;}{\phantom{;}18x^{3}-9x^{2}-50x\phantom{;}+25\phantom{;}\phantom{;}}\\\phantom{;}2x\phantom{;}+1\overline{\smash{)}\phantom{;}36x^{4}\phantom{-;x^n}-109x^{2}\phantom{-;x^n}+25\phantom{;}\phantom{;}}\\\phantom{\phantom{;}2x\phantom{;}+1;}\underline{-36x^{4}-18x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-36x^{4}-18x^{3};}-18x^{3}-109x^{2}\phantom{-;x^n}+25\phantom{;}\phantom{;}\\\phantom{\phantom{;}2x\phantom{;}+1-;x^n;}\underline{\phantom{;}18x^{3}+9x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;\phantom{;}18x^{3}+9x^{2}-;x^n;}-100x^{2}\phantom{-;x^n}+25\phantom{;}\phantom{;}\\\phantom{\phantom{;}2x\phantom{;}+1-;x^n-;x^n;}\underline{\phantom{;}100x^{2}+50x\phantom{;}\phantom{-;x^n}}\\\phantom{;;\phantom{;}100x^{2}+50x\phantom{;}-;x^n-;x^n;}\phantom{;}50x\phantom{;}+25\phantom{;}\phantom{;}\\\phantom{\phantom{;}2x\phantom{;}+1-;x^n-;x^n-;x^n;}\underline{-50x\phantom{;}-25\phantom{;}\phantom{;}}\\\phantom{;;;-50x\phantom{;}-25\phantom{;}\phantom{;}-;x^n-;x^n-;x^n;}\\\end{array}$
Learn how to solve problems step by step online. Integrate the function (36x^4-109x^2+25)/(2x+1) from 0 to infinity. Divide 36x^4-109x^2+25 by 2x+1. Resulting polynomial. Expand the integral \int\left(18x^{3}-9x^{2}-50x+25\right)dx into 4 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int18x^{3}dx results in: \frac{9}{2}x^{4}.
