1. ## integration

given that $\displaystyle y^{\frac{1}{2}} = x^{\frac{1}{3}} +3$

a) show that $\displaystyle y = x^{\frac{2}{3}} + Ax^{\frac{1}{3}} + B$ where A and B are constants to be found .

b) hence find $\displaystyle \int ydx$

2. [quote=Tweety;278593]given that $\displaystyle y^{\frac{1}{2}} = x^{\frac{1}{3}} +3$

a) show that $\displaystyle y = x^{\frac{2}{3}} + Ax^{\frac{1}{3}} + B$ where A and B are constants to be found .

b) hence find $\displaystyle \intydx$

3. I can't seem to edit my post, anyone know why ?

4. Originally Posted by Tweety
given that $\displaystyle y^{\frac{1}{2}} = x^{\frac{1}{3}} +3$

a) show that $\displaystyle y = x^{\frac{2}{3}} + Ax^{\frac{1}{3}} + B$ where A and B are constants to be found .

b) hence find $\displaystyle \int y \, dx$
$\displaystyle y = (x^{\frac{1}{3}} +3)^2$

$\displaystyle y = x^{\frac{2}{3}} + 6x^{\frac{1}{3}} + 9$

now find ...

$\displaystyle \int x^{\frac{2}{3}} + 6x^{\frac{1}{3}} + 9 \, dx$

editing posts after 15 minutes has been disabled ... use the "preview" feature.

5. if you can't edit it, then just re-post your question (probably in this thread)