Question

这个广义积分怎么用判别法判断收敛？

Answer 1

=1/e²∫1/(e^(x-1)+e^(1-x))dx
=1/e²∫e^(x-1)/(e^(2x-2)+1)d(x-1)
=(1/e²)arctane^(x-1)
=(1/e²)(π/2-π/4)
=π/4e²