Question

how to evaluate the integral:
(e^sinx)cosx/(sinx+1)dx

Answer 1

let u=sinx+1
du=cosx dx
if u=sinx+1, then u-1=sinx
see if this helps

Answer 2

\[\int\limits_{}^{}\frac{e^{u-1}}{u} du\]

Answer 3

\[\frac{1}{e}\int\limits_{}^{}\frac{e^u}{u}du\]

Answer 4

maybe this is the wrong substitution let me look at it some more

Answer 5

well, thanx, I was trying to do like
u=1/(sinx+1) dv=(e^sinx)cosx
du=-cosx/((sinx+1)^2) v=(e^sinx)

Answer 6

but I still get stuck after this

Answer 7

i dont think this is an elementary integral
this is wht i see
\[\int\limits\limits_{}^{}\frac{e^{\sin(x)}*\cos(x)}{sinx+1}dx\]

Answer 8

is that right?

Answer 9

yes

Answer 10

I got this
(e^sinx)/(sinx+1)+\[\int\limits (e^\sin(x))\cos(x)/(1+sinx)^2=\int\limits e^\sin(x)cosx/(1+sinx)\]

Answer 11

http://mathworld.wolfram.com/ExponentialIntegral.html

Answer 12

this is an exponential integral

Answer 13

what class is this?

Answer 14

cal2

Answer 15

what?
what book?

Answer 16

calculus 202

Answer 17

the book is called calculus 202

Answer 18

its not from the book

Answer 19

this one is too hard for cal 2 i would think
i haven't even heard of this exponential interal have you?

Answer 20

no, I spent more than two hours on this

Answer 21

its the first time I get stuck on one question like this

Answer 22

i think this is too hard for cal 2
you should email your teach and tell him its not elementary integral

Answer 23

I have already done that, but he told me this one is super duper easy, and thats why I still trying to do it

Answer 24

Thanx for ur help anyway

Answer 25

you wrote it down correctly?

Answer 26

you have no doubts it was written incorrectly?

Answer 27

yes, I look at it like thousand times

Answer 28

it is not easy

Answer 29

cosx is not in exponent part right?

Answer 30

yes I think I might just leave it

Answer 31

cow might say something in a second let him say something first and then give up

Answer 32

well give up if he doesn't say anything that is positive about integrating this

Answer 33

Ill see wht he say tom.

Answer 34

i was able to write it in the form e^(e^s) and this is what one site said about this
http://mathforum.org/library/drmath/view/52023.html

Answer 35

yeah i dont think this has a elementary anti-derivative

Answer 36

and cow is really smart

Answer 37

so i believe in him

Answer 38

and myself i guess since he confirm what i thought lol