`intsqrt(ax+b)dx=?`

Options

A. `(2(ax+b)^(3//2))/(3a)+C`
B. `(3(ax+b)^(3//2))/(2a)+C`
C. `(1)/(2sqrt(ax+b))+C`
D. none of these

Answer

A

Explanation

Put (ax+b)=t and a dx=dt.
`:." "I=(1)/(a)intsqrt(t)" dt"=(1)/(a)*(t^((3)/(2)))/((3)/(2))+C`.