2∫(√(x^3 +4)) dx


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Question Number 86094 by M±th+et£s last updated on 27/Mar/20

$2 \int \sqrt{x^{3} + 4} d x$
Commented by redmiiuser last updated on 27/Mar/20

$s i r p l e a s e c h e c k m y$ $a n s w e r$
	Answered by redmiiuser last updated on 27/Mar/20

	Commented by M±th+et£s last updated on 27/Mar/20

	$t h a n k y o u s i r b u t c a n y o u s h o w y o u r w o r k$
	Commented by redmiiuser last updated on 28/Mar/20

	$i s m y a n s w e r c o r r e c t$
	Commented by M±th+et£s last updated on 28/Mar/20

	$i t s c o r r e c t s i r$
	Commented by redmiiuser last updated on 28/Mar/20

	$t h a n k s s i r$
	Commented by M±th+et£s last updated on 28/Mar/20

	$s i r c a n y o u s h o w m e h o w d i d y o u g e t t h a t$ $a n d t h a n k y o u$
	Commented by redmiiuser last updated on 28/Mar/20

	$t h e o b v i o u s m e t h o d$ $t o d o t h i s i s b i n o m i a l$ $t h e o r e m .$ $a t f i r s t a s s u m e x^{3} = 4 \tan^{2} θ$ $a n d d o i n t e g r a t i o n$ $u n t i l y o u r e a c h$ $\frac{32}{3 . 4^{(2 / 3)}} \int \frac{\sec^{3} θ . d θ}{\tan^{(1 / 3)} θ}$ $t h e n a s s u m e u = \tan θ$ $f u r t h e r w e g e t$ $\frac{32}{3 . 4^{(2 / 3)}} \int \frac{{(1 + u^{2})}^{(1 / 2)} d u}{u^{(1 / 3)}}$ $n o w$ $e x p a n d {(1 + u^{2})}^{(- 1 / 2)}$ $a n d i n t e g r a t e a n d r e s t$ $i s u p t o y o u$
	Commented by redmiiuser last updated on 28/Mar/20

	$a r e q u e s t t o y o u t o p l s c h e c k$ $q u e s t i o n n o .$ $86454 .$
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