Mathematics

The value of $$\displaystyle  \int _{0}^{1}x^2+2 dx$$ is equal to


SOLUTION
Given  $$\displaystyle \int_0^1 x^2+2 dx$$ 

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

$$=\dfrac 13+2-0$$

$$=\dfrac73$$
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Subjective Medium Published on 17th 09, 2020
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