Mathematics

Evaluate $$\displaystyle\int  \dfrac {3x}{2x^2+5}dx$$


SOLUTION
$$\displaystyle \int \dfrac{3x}{2x^2+5}dx\\t=2x^2+5\implies 4xdx=dt\\\displaystyle \int \dfrac 34 \dfrac 1t dt\\\dfrac 34\log t\\\dfrac 34\log (2x^2+5)+c$$
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Subjective Medium Published on 17th 09, 2020
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