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

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

lgbasallote · Answer

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

anonymous · Answer

yes

lgbasallote · Answer

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?

anonymous · Answer

yea but i dont know what to do after

lgbasallote · Answer

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

anonymous · Answer

oh yeea

lgbasallote · Answer

so do you know how to do the rest now?

lgbasallote · Answer

or do you need more help?

anonymous · Answer

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

lgbasallote · Answer

$$\huge \color{purple}{\textbf{<tips hat>}}$$