Question

find the value integration √(1+x2/9) dx​

Answer 1

Question :-

Find the value of -

$\int \sf(1 + \frac{ {x}^{2} }{9} \: )dx$

Answer :-

$\implies \sf \: x + \frac{ {x}^{3} }{27} + c(constant)$

Explanation :-

$\implies \int \sf (1 + \frac{ {x}^{2} }{9} )dx \\ \: \\ \implies \sf x + \frac{ {x}^{2 + 1} }{9(2 + 1)} + c \\ \\ \implies \sf x + \frac{ {x}^{3} }{27} + constant \: (c)$