Mathematics

Evaluate:
$$\displaystyle \int _{ 0 }^{ \sqrt { 2 }  }{ { x }^{ 2 } } dx$$ 


ANSWER

$$\dfrac{2\sqrt{2}}{3}$$


SOLUTION
Given,

$$\displaystyle \int _0^{\sqrt{2}}x^2dx$$

$$=\left .\dfrac{x^{2+1}}{2+1}\right|^{\sqrt{2}}_0$$

$$=\left.\dfrac{x^3}{3}\right|^{\sqrt{2}}_0$$

$$=\dfrac{2\sqrt{2}}{3}$$
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Single Correct Medium Published on 17th 09, 2020
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