Mathematics

$\displaystyle\int \dfrac{2x^3-1}{x^4+x}dx$ is equal to?

$ln\left|\dfrac{x^3+1}{x}\right|+c$

SOLUTION
$\displaystyle\int \dfrac{2x^3-1}{x^4+x}dx=\displaystyle\int \dfrac{2x-x^{-2}}{x^2+x^{-1}}dx=ln(x^2+x^{-1})+c=ln(x^3+1)-lnx+c$.

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Single Correct Medium Published on 17th 09, 2020
Questions 203525
Subjects 9
Chapters 126
Enrolled Students 84

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