Mathematics

Evaluate:
$$\displaystyle \int _{ 0 }^{ 1 } x^2+ 2x $$ dx


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

$$=\displaystyle \int _0^1 x^2dx +\int _0^1 2x dx $$

By using $$\displaystyle\int{{x}^{n}dx}=\dfrac{{x}^{n+1}}{n+1}+c$$

$$=\left.\dfrac {x^3}{3}+x^2\right|_0^1$$

$$=\dfrac 13+1=\dfrac 43$$
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Subjective Medium Published on 17th 09, 2020
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