p-5-6-p-p-8-11-p-11-13-12ky-x-2-6x-dx-p-4-7-p-p-9-12-p-11-16-x-2-y-3-2-k-dx-solve-for-y-

Question Number 105239 by bemath last updated on 27/Jul/20

\underset{\underset{p = 5}{\sum^{6}} p}{\sum^{\underset{p = 8}{\sum^{11}} p}} \underset{11}{\int^{13}} (\frac{12 k y}{x^{2}} + 6 x) d x = \underset{\underset{p = 4}{\sum^{7}} p}{\sum^{\underset{p = 9}{\sum^{12}} p}} \underset{11}{\int^{16}} (x^{2} y - \frac{3}{2} k) d x

s o l v e f o r y

Answered by john santu last updated on 27/Jul/20

(1) \underset{p = 5}{\sum^{6}} p = 11

(2) \underset{p = 8}{\sum^{11}} p = 38

(3) \underset{p = 4}{\sum^{7}} p = 22

(4) \underset{p = 9}{\sum^{12}} p = 42

\Leftrightarrow \underset{11}{\sum^{38}} \underset{11}{\int^{13}} (12 {k x}^{- 2} y + 6 x) d x =

\underset{11}{\sum^{38}} {[(- \frac{12 k y}{x} + 3 x^{2})]}_{11}^{13} = \underset{11}{\sum^{38}} (3 (48) + 12 k y (\frac{1}{11} - \frac{1}{13}))

t h e s t r a n g e q u e s t i o n .