Integral of e^(3x)/(e^x+1) (substitution)
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00:00 Rewrite expression
00:13 Substitution: u=e^x
00:17 Differentiate in both sides
00:22 Substitute e^x, e^(2x) and (e^x)dx
00:44 Add -1+1 on the numerator
00:49 Split into two integrals
01:05 Apply a^2-b^2 = (a+b)(a-b)
01:38 Simplify expression
01:58 Integrate u-1 and 1/(u+1)
02:08 Undo substitution: u in terms of x
02:22 Add integration constant +C
02:32 Final answer!
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