Question

integrate sqrt{(x^3-3)/x^11}

Answer 1

\(\int \sqrt{\dfrac{x^3-3}{x^8x^3}}dx =\int \dfrac{1}{x^4} \sqrt{\dfrac{x^3-3}{x^3}}dx\)
did you get this step ??

Answer 2

yes

Answer 3

then let u = \(\dfrac{x^3-3}{x^3}=1-3x^{-3}\)

Answer 4

du=.... ?

Answer 5

thanks :)

Answer 6

so, can you solve further ?

Answer 7

solved thanks again

Answer 8

welcome ^_^