Mathematics

Simplify : $$\displaystyle\int{\dfrac{2dx}{\sqrt{x}}}$$


SOLUTION
$$I=\displaystyle\int{\dfrac{2dx}{\sqrt{x}}}$$

$$=2\displaystyle\int{{x}^{\frac{-1}{2}}dx}$$

$$=2\left[\dfrac{{x}^{\frac{-1}{2}+1}}{\dfrac{-1}{2}+1}\right]$$

$$=2\times 2\sqrt{x}+c$$

$$=4\sqrt{x}+c$$
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Subjective Medium Published on 17th 09, 2020
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