1. the integral of ((sinx)^x )dx
2. the integral of (e^x/(1+e^2x)) dx
2006-11-29 07:01:29 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
1) This has no elementary solution
2) This one, however, does have a solution, with the substitution e^x = tanu. You are at the answer arctan(e^x)
Steve
2006-11-29 07:04:47 · answer #1 · answered by Anonymous · 0⤊ 0⤋
Are you sure you have #1 correct? The integral of that is very very difficult to solve.
As for #2, you have to use substitution, keeping in mind that e^(2x) is equal to (e^x)^2. Let u = e^x at that point, and solve normally. This will probably involve trigonometric substitution and all that good stuff.
2006-11-29 15:06:03 · answer #2 · answered by Puggy 7 · 0⤊ 0⤋
You cannot compute the first one! the second is (by change of variable u =e^x) Arctan(e^x) +C.
2006-11-29 15:23:25 · answer #3 · answered by polizei 2 · 0⤊ 0⤋
calc integral of e ^(x ln(sinx))
2006-11-29 15:25:14 · answer #4 · answered by Mr.ENG 2 · 0⤊ 0⤋