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Calc help!! How do I find?
integral of (e^x)/((e^2x)+1)
I need to understand the steps involved. First to explain gets best answer.
1 Answer
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- 9 years agoFavorite Answer
u = e^(x)
du = e^(x) * dx
e^(x) * dx / (1 + e^(2x)) =>
du / (1 + u^2)
u = tan(t)
du = sec(t)^2 * dt
sec(t)^2 * dt / (1 + tan(t)^2) =>
sec(t)^2 * dt / sec(t)^2 =>
dt
Integrate
t + C
u = tan(t)
arctan(u) = t
arctan(u) + C =>
arctan(e^(x)) + C
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