Question

HELP STEP BY STEP INTEGRATION (I mean step by step!!)\[\int\limits {x \over \sqrt {x-3}}dx--->x=3+u^2\]

Answer 1

simplify .. first!!

Answer 2

6u + (2/3)u^3

Answer 3

\[\int\limits {3+u^2 \over \sqrt{3+u^2-3}}\]

Answer 4

\[\int\limits\limits{ 3+u^2 \over u} \times 2u\]

Answer 5

\[2 \int\limits {3u+u^3 \over u}\]

Answer 6

How to go on from here?