find integration simple one

Is the entire denom under √?????

yes the entire denominator is under the root

take x^(3/2) =t

i have got one more method

check if it is correct

integration of numerator is 2x^3/2/3

so let x^3/2=t 3/2 x^1/2dx = dt

∫x^1/2/√(X^3/2)2+(a^3/2)2

=∫2/3dt / √t²+(a^3/2)2
= 2/3 ∫dt/√t²+(a^3/2)2
=2/3 log|(t+√t²+(a^3/2)2)|
= 2/3 log|x^3/2+√x³+a³|

is it correct nishant sir?

It is the same thing isnt it??