# Simple Definite Integration

1. Jan 22, 2009

### Apteronotus

I want to find the area under a function $$f$$ in the interval $$(a,b)$$.

I've calculated the integral of the function $$f$$, and its given by:
$$\int f(x) dx=F(x)$$

Now the problem I have is that $$F(a)$$ is not defined. In particular, $$F(x)=\frac{h(x)}{g(x)}$$ and
as $$x \rightarrow a, h(x) \rightarrow 0$$
and $$x \rightarrow a, g(x) \rightarrow 0$$

How would I approach this problem?

2. Jan 22, 2009

### NoMoreExams

3. Jan 22, 2009

### Apteronotus

Yes of course!!
Thank you kindly NME.

4. Jan 23, 2009

### prav

You can probably use the L'Hospital's rule if everything is good since this is 0/0.
Look up Bender and Orszag maybe.

5. Jan 26, 2009

### Apteronotus

Thanks for the helpful tip prav.