SOLUTION: integrate {{{matrix(2,1,"", (e^(x^2+2x))/((x+1)^2)))}}} Thanks!

Question 1010978: integrate
Thanks!
Found 4 solutions by Fombitz, fractalier, Edwin McCravy, ikleyn:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
There is not a closed form solution to this problem if that's what you're looking for.
If that's not what you want, please repost and clarify.

Answer by fractalier(6550)   (Show Source): You can put this solution on YOUR website!
I do not believe I can give you a closed-form solution to this integral...if you give me limits, we can do it numerically...
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!

Cannot be integrated in closed form by any methods taught in
college mathematics.
It can be expanded in a Taylor (MacLaurin) series

and integrated term by term:

Answer by ikleyn(52777)   (Show Source): You can put this solution on YOUR website!
.
integrate
-------------------------------

1. Multiply the numerator by e and divide the function by e. The integrand does not change, it remains the same:

= . = .

2. Replace the variable y = x+1. You will get

. = .

3. Take the integral by parts:   u = ,   v*dy = ,   v = .

Do not forget this factor .

4. In this way you will reduce the problem to the integral of the function   .

This integral is not an elementary function, and it is entirely out of the school Calculus. It is entirely out of the university Calculus, even.

RELATED QUESTIONS
Integrate... (answered by harpazo)
integrate... (answered by Cromlix)
integral calculus 1. integrate the dx/e^x-e^-x 2. integrate the sec^2xdx/8+sec^2x 3. (answered by Alan3354)
i'm not sure to select which topic. but what i learn is in topic integration.... (answered by ewatrrr)
integrate sin^2 x... (answered by Alan3354)
INTEGRATE 1 | (x^3 - x^2 + x -1) / (x-1) dx 0 (answered by KMST)
Please help me with this problem too: Integrate: {{{3^x}}} + {{{1/(x^2 + 1)}}}... (answered by Fombitz)
Please help. Integrate... (answered by Edwin McCravy)
integrate... (answered by harpazo,richwmiller)