1. ## Integration?

{ ∫ 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.

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

3. 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

4. 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.
$\displaystyle \frac{\int_0^L \frac{M}{L}x \ \mathrm{d}x}{\int_0^M \mathrm{d}m}$$\displaystyle =\frac{\left[ \frac{Mx^2}{2L}\right]_{x=0}^L}{\left[m\right]_{m=0}^M }$$\displaystyle = \frac{\frac{ML^2}{2L} - 0}{M-0} = \frac{\frac{ML}{2} - 0}{M} = \frac{ML}{2M} =\frac{L}{2}$

5. Originally Posted by Air
$\displaystyle \frac{\int_0^L \frac{M}{L}x \ \mathrm{d}x}{\int_0^M \mathrm{d}m}$$\displaystyle =\frac{\left[ \frac{Mx^2}{2L}\right]_{x=0}^L}{\left[m\right]_{m=0}^M }$$\displaystyle = \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..

6. 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