integral of sqrt(x)/(1+x^3)

Question

anonymous · Answer

you would like to set $$x^{3/2}$$

anonymous · Answer

$$u=x^{2/3}$$

anonymous · Answer

how did you know how to do that? Because i was trying to figure it out and couldnt

anonymous · Answer

if u set u=x^{3/2}
du would be 3/2x^1/2

anonymous · Answer

i first tried integration by parts but that didnt work

anonymous · Answer

let me write it good lol

anonymous · Answer

im taking calc 2 right now and its hard to try to figure out which technique to use when solving integrals

anonymous · Answer

$$u=x^{3/2}$$
$$du=\frac{ 3 }{ 2 }\sqrt[]{x}dx$$

anonymous · Answer

so now u can substitude in the integral

anonymous · Answer

yeah it worked.

anonymous · Answer

sometimes its not very obvious to see the substitution but with more problem solving u get idea what to do xD

anonymous · Answer

ok thanks!

anonymous · Answer

no problem :)

anonymous · Answer

have you take calc 2 yet?

anonymous · Answer

yes i have , calc 3 right now

anonymous · Answer

oh ok, im taking that in the fall. any suggestions when trying to solve integrals?

anonymous · Answer

i can just recomend you this site wolframalpha if u dont know it yet , can help you a LOT  it did quite good job for my maths , and for solving integrals i am not quite sure what to suggest you its mostly about practise and facing more and more different integrals and u'll get the idea :) good luck

anonymous · Answer

ok thanks! take care