∫(0到1)(x+1)*e^(x²+2x)dx

问题描述:

∫(0到1)(x+1)*e^(x²+2x)dx

∫(0到1)(x+1)*e^(x²+2x)dx
=1/2∫(0到1)e^(x²+2x)d(x²+2x)
=1/2e^(x²+2x)[0,1]
=e^3/2-1/2