Integration

[Mel Mitch]

I'm not getting this out.......a little guidance pleaseeeeeeeeeeeeeeeeeeee

Integrate with repect to x:

1) x^(1/2)+ 1/x^(1/2)

2) [x^(1/2) - x]^2

 

[soroban]

Hello, Mel Mitch!

How about using a little algebra . . .

$\displaystyle \text{Integrate:}$

$\displaystyle 1)\;\;\int\left(x^{\frac{1}{2}}+ \frac{1}{x^{\frac{1}{2}}}\right)\,dx$

$\displaystyle 2)\;\;\int\left(x^{\frac{1}{2}} - x\right)\!^2\,dx$

$\displaystyle \text{The first integral is: }\;\int\left(x^{\frac{1}{2}} + x^{-\frac{1}{2}}\right)\,dx$

$\displaystyle \text{The second is: }\;\int\left(x^{\frac{1}{2}}-x\right)\!^2\,dx \;=\;\int\left(x - 2x^{\frac{3}{2}} + x^2\right)\,dx$

$\displaystyle \text{Got it?}$

 

[Mel Mitch]

Thank you Soroban.....got out the first one out ....will work on the second later.....
again thanks

 

[Mel Mitch]

i got them both