Mathematics

Evaluate $$\displaystyle \int_{0}^{1}{}{(2x^2 +x+1)}\ dx$$


SOLUTION
Consider, $$I=\displaystyle \int_{0}^{1}{}{2x^2 +x+1}dx$$

$$=\left [\dfrac {2x^3}{3}+\dfrac {x^2}{2}+x\right]_0^1$$

$$=\dfrac 23+\dfrac 12+1=\dfrac {13}6$$

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Subjective Medium Published on 17th 09, 2020
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