Mathematics

Solve:

$$\displaystyle \int _2^3 x^2+2x+5 dx$$


SOLUTION
Given $$\displaystyle \int _2^3 x^2+2x+5 dx$$

$$=\left.\dfrac{x^3}3 +x^2+5x\right|_2^3$$     [$$\because\int x^n=\dfrac{x^{n+1}}{n+1}$$]

$$=9+9+15-\dfrac 83-4-10$$ 

$$=19-\dfrac 83$$

$$=\dfrac {49}3$$
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Subjective Medium Published on 17th 09, 2020
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