oblicz całkę ja: ¹ ₀∫ xe^xdx

M:

ona: ∫xe^xdx= u=x. u'=1 = xe^x−∫1*e^xdx. = xe^x−e^x =(x−1)e^x f'=e^x. f=e^x (x−1)e^x ₀|¹=(1−1)e¹−(0−1)e⁰ = 1