# Math Help - Quick Question...

1. ## Quick Question...

Q:

2. $f(x) = (1+x)^2$ with $b=3$

Thus,

$\int_0^3 (1+x)^2 dx$

3. Originally Posted by qbkr21
Q:
Your objective is to find the integral correct.

Now i happen to find doing things like these and Riemann sums and the Simpson's and Midpoint rules hopelessly annoying. I have somewhat purposed in my heart to forget how to do them, so what i say may not be 100% correct, but you can verify what i say with your text.

$\int_0^b f(x) dx$
$= \int_0^3 f(x) dx$
$= \int_0^3 (1 + x)^2 dx$
$= \lim_{n \rightarrow \infty} [f(x_{1}) \triangle x + f(x_{2}) \triangle x + ... + f(x_{n}) \triangle x]$
$= \lim_{n \rightarrow \infty} \sum_{i = 1}^{\infty} f(x_{i}) \triangle x$

4. Instead of typing
\lim_{x \rightarrow \infty}

Type,
\lim_{x\to \infty}

This is Mine 58th Post!!!

5. Originally Posted by ThePerfectHacker