Question

Help me Integrate:

Answer 1

\[\int\limits_{?}^{?} \left( x \sqrt{x} + \frac{ 1 }{ x^3 \sqrt{x} } \right) dx\]
This is an indefinite integral

Answer 2

any ideas?

Answer 3

remember how √x is really \(x^{1/2}\)

Answer 4

and

\[a^n\times a^m=a^{n+m}\]

Answer 5

so both terms in the integrand can be rewritten as simple powers of \(x\)

and you can apply the familiar rule , of adding one to the index and dividing by the new index

Answer 6

and dont forget to add an arbitrary constant of integration

Answer 7

if i were to use u-substitution ? what would my u be?

Answer 8

um, dont do use substitution for this problem

Answer 9

the only substitution you need to make is substituting the root signs for their exponential equivalents, just as UnkleRhaukus stated.