Question

求定积分，不定积分，高数

Answer 1

高数中求定积分与不定积分主要用换元法和分部积分法

Answer 2

∫(1/x^2)e^(1/x)dx = -∫e^(1/x)d(1/x) = -e^(1/x) + C
∫<0, π/2>xcosxdx = ∫<0, π/2>xdsinx
= [xsinx]<0, π/2> - ∫<0, π/2>sinxdx
= π/2 + [cosx]<0, π/2> = π/2 - 1