Mathematics

Find the value of $$\displaystyle  \int _{0}^{1}(x^2+2)\ dx$$.


SOLUTION
$$\displaystyle \int_{0}^{1}{\left( {x}^{2} + 2 \right) dx}$$

$$\displaystyle = \left[ \cfrac{{x}^{3}}{3} + 2x \right]_{0}^{1}$$
$$= \left[ \left( \cfrac{1}{3} + 2 \right) - 0 \right]$$

$$= \cfrac{7}{3}$$
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Subjective Medium Published on 17th 09, 2020
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