Mathematics

$$\int \frac{2x^{2}}{3x^{4}2x} dx$$


SOLUTION
$$ \int \frac{2x^{2}}{3x^{4}2x}dx = \int \frac{x^{2}dx}{3x^{5}}$$
$$ = \frac{1}{3}\int \frac{dx}{x^{3}}$$
$$ = \frac{1}{3}\times (\frac{x^{-2}}{-2})$$ [using $$ \int x^{n}= \frac{x^{n+1}}{n+1}]$$
$$ = \frac{-1}{6x^{2}}$$
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Subjective Easy Published on 17th 09, 2020
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