Integration?

**fardeen_gen** · July 1st 2008, 08:52 AM

{ ∫ from 0 to L of x(M/L) dx}/{ ∫ from 0 to M of dm} = ?

I think the answer is L/2. Am I right?

Edit:
My bad. I entered wrong data in the numerator.I have corrected it now.

**wingless** · July 1st 2008, 09:03 AM

$\frac{\int_0^L \frac{M}{L}~dx}{\int_0^M~dm}=\frac{\frac{M}{L}x~\b igg |_{x=0}^L}{m~\bigg |_{m=0}^M}= \frac{M-0}{M-0}=1$

**Moo** · July 1st 2008, 09:08 AM

Hello,

Originally Posted by fardeen_gen

{ ∫ from 0 to L of x(M/L) dx}/{ ∫ from 0 to M of dm} = ?

I think the answer is L/2. Am I right?

Edit:
My bad. I entered wrong data in the numerator.

Yes it is

**Simplicity** · July 1st 2008, 10:13 AM

Originally Posted by fardeen_gen

{ ∫ from 0 to L of x(M/L) dx}/{ ∫ from 0 to M of dm} = ?

I think the answer is L/2. Am I right?

Edit:
My bad. I entered wrong data in the numerator.I have corrected it now.

$\frac{\int_0^L \frac{M}{L}x \ \mathrm{d}x}{\int_0^M \mathrm{d}m}$ $=\frac{\left[ \frac{Mx^2}{2L}\right]_{x=0}^L}{\left[m\right]_{m=0}^M }$ $= \frac{\frac{ML^2}{2L} - 0}{M-0} = \frac{\frac{ML}{2} - 0}{M} = \frac{ML}{2M} =\frac{L}{2}$

**wingless** · July 1st 2008, 10:19 AM

Originally Posted by Air

$\frac{\int_0^L \frac{M}{L}x \ \mathrm{d}x}{\int_0^M \mathrm{d}m}$ $=\frac{\left[ \frac{Mx^2}{2L}\right]_{x=0}^L}{\left[m\right]_{m=0}^M }$ $= \frac{\frac{ML^2}{2L} - 0}{M-0} = \frac{\frac{ML}{2} - 0}{M} = \frac{ML}{2M} =\frac{L}{2}$

Something must be wrong with my eyes, I can't read anything except LaTeX these days..

**Moo** · July 1st 2008, 10:20 AM

Originally Posted by wingless

Something must be wrong with my eyes, I can't read anything except LaTeX these days..

The OP said he posted it wrong in a first time

Thread: Integration?

LinkBack

Thread Tools

Display

Integration?

Similar Math Help Forum Discussions

Integration help please these are three small even basic integration problems

sketch the region of integration and change the order of integration.

Definite Integration - Double integration by parts

Simple Integration problem: Trigonometric Integration

Tricky integration, possibly Integration Factor

Search Tags