Change of Variables and Integration by Parts
Calculus
Level
4
We know that \( \displaystyle \int_0^\infty e^{-t} \, dt = 1 \) and \( \large\displaystyle \int_0^\infty e^{-t^2} \, dt =\dfrac{\sqrt \pi}2 \). What is the value of \(\large \displaystyle \int_0^\infty e^{-t^{1/5}} \, dt \)?
by
Odair Bonfim