∫((x+4y)/(2x^2 +9xy))dx M.m


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Question Number 183101 by Mastermind last updated on 20/Dec/22

$\int \frac{x + 4 y}{{2 x}^{2} + 9 xy} dx$ $M . m$
Commented by mr W last updated on 20/Dec/22

$i s y a c o n s t a n t o r a f u n c t i o n o f x ?$
Commented by MJS_new last updated on 21/Dec/22

$wrong .$ $maybe better celebrate a f t e r learning the$ $basics ?!$
Commented by mr W last updated on 21/Dec/22

$e v e n m a y b e b e t t e r l e a r n b a s i c h u m a n$ $b e h a v i o r a t f i r s t b e f o r e l e r a n i n g b a s i c$ $m a t h e m a t i c s!$ $i k i n d l y a s k e d h i m m a n y t i m e s n o t$ $t o p o s t a n s w e r s a s ‘ ‘ {c o m m e n t}^{″} b u t a s$ $‘ ‘ {a n s w e r}^{″}, i e v e n t o l d h i m h o w t o d o$ $t h i s, i e v e n t o l d h i m i n h i s l a n g u a g e$ $(F r e n c h), b u t h e i g n o r e d a l l t h o s e$ $k i n d n e s s e s a n d e v e n {d i d n}^{'} t g i v e a n y$ $r e p l y . t h e r e f o r e i w o u l d s a y w h a t h e$ $m o s t l y m i s s e s i s t h e b a s i c h u m a n$ $b e h a v i o r .$
	Answered by MJS_new last updated on 21/Dec/22

	$\int \frac{x + 4 y}{2 x^{2} + 9 x y} d x = \int (\frac{1}{9 (2 x + 9 y)} + \frac{4}{9 x}) d x =$ $= \frac{1}{18} \ln ∣ 2 x + 9 y ∣ + \frac{4}{9} \ln ∣ x ∣ + C$
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