Posted by abhi on Thursday, October 4, 2012 at 11:24am.
Integrate e^2x/e^x 1....plzz note e^x 1 as a whole is the denominator

calculus  eh?  Steve, Thursday, October 4, 2012 at 11:35am
ok, what is "e^x 1" ?

calculus  abhi, Thursday, October 4, 2012 at 12:39pm
.Sorry its e^x+1.....:P

calculus  Reiny, Thursday, October 4, 2012 at 12:46pm
If it is e^(2x)/(e^x + 1) the way you typed it, then the integral is
e^c  ln(e^x + 1) + C
if you meant:
e^(2x)/e^(x+1) then it would simplify to
e^(x1) and the integral of that is simply
e^(x1) + c

calculus  abhi, Thursday, October 4, 2012 at 1:43pm
Could u plzz tell it in detail...the 1st 1

calculus  Steve, Thursday, October 4, 2012 at 2:02pm
let u = e^x+1.
du = e^x dx
and you have
∫(u1)/u du = ∫ 1  1/u du = u  lnu = (e^x+1)  ln(e^x+1) + C
by absorbing the +1 into the C, you end up with
= e^x  ln(e^x+1) + C

calculus  abhi, Friday, October 5, 2012 at 11:54am
...u see the numrtr is e^2x and how can u write it as u1?
Answer This Question
Related Questions
 math  Integrate sinx/sinxcosx..... Plz note sinxcosx as a whole is in the ...
 calculus  Integrate sinx+cosx/rootsin2x with respect to dx...plzz help me
 math  When 5 is added to both the numerator and denominator of a fraction the ...
 Integral calculus  Please do help solve the followings 1) Integrate e^4 dx 2) ...
 calculus  1) Integrate Cos^n(x) dx 2) Integrate e^(ax)Sinbx dx 3) Integrate (...
 calculus  I have a question about the root test. If we have 5x^5 + 2 in the ...
 Calculus  6.] Replace the integral in exercise 5 (int. (1/ 1 – t) dt a = 0, b...
 calculus 2  Justify, with a written explanation or a mathematical reasoning and...
 Integral calculus  Please can anyone help with the following problems  thanks...
 Calculus AB  Please help me integrate this equation using partial fractions: ...
More Related Questions