Question

Does anyone know how to integrate this?
∫2x^2-x/x^1/2..I need to solve this without using the substitution rule.
any help would be greatly appreciated

Answer 1

\[\int \frac{2x^2 - x}{x^{1/2}}dx?\]

Answer 2

yes

Answer 3

first step would be to separate the integral

\[\int \frac{2x^2}{x^{1/2}}dx - \int \frac{x}{x^{1/2}}dx\]
did you do this?

Answer 4

yea but i dont know what to do after

Answer 5

next you apply the rule of exponents
\[\frac{a^m}{a^n} \implies a^{m-n}\]
remember that rule?

Answer 6

oh yeea

Answer 7

so do you know how to do the rest now?

Answer 8

or do you need more help?

Answer 9

i think i got it now. thanks a lot :)

Answer 10

\[\huge \color{purple}{\textbf{<tips hat>}}\]