Question

Please solve Example.2.9

Answer 1

$\huge\mathtt\pink{A}\mathtt\red{N}\mathtt\blue{S}\mathtt\green{W}\mathtt\purple{E}\mathtt\green{R}$

Explanation:

$\rightarrow \: \int_{3}^{6} (2 {x}^{2} + 3x + 5)dx$

$\rightarrow \: \int_{3}^{6} ( \frac{2}{3} {x}^{ 2 + 1} + \frac{3}{2} {x}^{1 + 1} + 5x)$

$\rightarrow \: \int_{3}^{6} ( \frac{2}{3} {x}^{ 3} + \frac{3}{2} {x}^{2} + 5x)$

$\rightarrow( \frac{2}{3} {6}^{ 3} + \frac{3}{2} {6}^{2} + 5 \times 6 - \frac{2}{3} {3}^{3} - \frac{3}{2} {3}^{2} - 5 \times 3 )$

$\rightarrow144 + 54 + 30 - 6 - \frac{27}{2} - 15$

$\rightarrow207 - \frac{27}{2} = \frac{387}{2}$

#together we go far

#be brainly