Question

x^11/2 antiderivative
indefinite integration​

Answer 1

Step-by-step explanation:

$\bold{Considered \: y = {x}^{ \frac{11}{2} } }$

$I = \int y \: dx$

$= \int {x}^{ \frac{11}{2} } dx$

$= \frac{ {x}^{ \frac{11}{2} + 1 } }{ \frac{11}{2} + 1} \: \: ( \because \: \int {x}^{n} dx = \frac{ {x}^{n + 1} }{n + 1} )$

$= \frac{ {x}^{ \frac{11 + 2}{2} } }{ \frac{11 + 2}{2} }$

$= \frac{ {x}^{ \frac{13}{2} } }{ \frac{13}{2} }$

$= \frac{2 {x}^{ \frac{13}{2} } }{13}$

I hope it is helpful