Mathematics

Solve:

 $$\displaystyle\int_{0}^{1}\sqrt x \ dx$$


SOLUTION
Given $$\displaystyle\int_{0}^{1}\sqrt x \ dx$$

$$=\left. \dfrac {2x^{3/2}}{3} \right|_0^1 $$     [$$\because \int x^n=\dfrac{x^{n+1}}{n+1}$$]

$$=\dfrac 23$$
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Subjective Medium Published on 17th 09, 2020
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