Question

determine the following intergral:(ax + b)^(3/2) dx

Answer 1

no i dont

Answer 2

ax^(a-1)?

Answer 3

no i am not familiar with it

Answer 4

sorry, i thought , it differentiation....

Answer 5

try let u=ax+b
du=adx
\[\frac{1}{a}\int\limits u^{3/2} \, du\]

Answer 6

then just integrate and sub back in

Answer 7

int of x^n dx=x^(n+1)/n+1

Answer 8

how does one intergrate though

Answer 9

Follow @Sam suggestion. He has given u some clue.

Answer 10

Try first

Answer 11

use this

Answer 12

\[\int\limits_{}^{}(ax+b)^{\frac{3}{2}}dx=\frac{2(ax+b)^{\frac{5}{2}}}{5a}\]

Answer 13

Plus C of course.

Answer 14

This was done by inspection using the standard rule for integration ahd then differentiating to check and adjust the result.