# Thread: Integration of function

1. ## Integration of function

f(x)=square root of 2x

Can integration be done in respect to x?

2. Originally Posted by Stuck Man
f(x)=square root of 2x

Can integration be done in respect to x?
Yes, of course. It is, really, just an application of $\displaystyle \int x^n dx= \frac{1}{n+1}x^{n+1}+ C$.

$\displaystyle \sqrt{2x}= \sqrt{2}\sqrt{x}= \sqrt{2}x^{1/2}$

$\displaystyle \int \sqrt{2x} dx= \sqrt{2}\int x^{1/2} dx$

3. Thanks. I hadn't thought of splitting up 2x like that.

4. Generally in Calculus, if it seems too hard, you're just missing something.

*Or it is just impossible, and your prof is doing this to you to make a point

5. There are a lot of mistakes in the book I'm using so I have to suspect that the book is wrong.

6. Is calculus typically a university subject? I was 15 when I first did it in school.

7. Originally Posted by Stuck Man
Is calculus typically a university subject? I was 15 when I first did it in school.

From my experience, calculus is introduced in fairly good high schools in most more or less ""normal"" countries, at around 10th or 11th (out of 12) grade, so yes: around the age of 15-16 calculus is a subject in some schools in some countries.

Tonio