【正确答案】(1)∫₁²(x²+1)e^xdx=∫₁²(x²+1)de^x=(x²+1)e^x|₁²一∫₁²e^x(2x)dx
=(4+1)e²-2e-2∫₁²xde^x=5e²-2e一2xe^x|₁²+2∫₁²e^xdx
=5e²一2e一4e²+2e+2e^x|₁²=3e²一2e
(2)