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$$\int_1^2 \frac{(x+3)^2}{3} dx$$

 Jun 12, 2022
 #1
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solve this

 

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\({\color{blue}\int_1^2 \frac{(x+3)^2}{3}\ dx}=\int_1^2\frac{1}{3}(x^2+6x+9)\ dx=\frac{1}{3}\left[\frac{x^3}{3}+3x^2+9x\right]_{1}^{2}\\ = \frac{1}{3}(\frac{8}{3}+12+18-\frac{1}{3}-3-9)\color{blue}=6\frac{7}{9}\)

laugh  !

 Jun 12, 2022

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