答：
1.原式
=∫(0到2) 16-8x-4x²+2x³ dx
=16x-4x²-4x³/3+x^4/2 |(0到2)
=32-16-32/3+16/2-0
=40/3
2.原式
=∫(1到2) x-2-3/x dx
=x²/2-2x-3lnx |(1到2)
=4/2-4-3ln2-(1/2-2-3ln1)
=-1/2-3ln2
3.原式
=∫(2到3) x+2+1/x dx
=x²/2+2x+lnx |(2到3)
=9/2+6+ln3-(4/2+4+ln2)
=9/2+ln3-ln2
4.原式
=∫(1到4) √x-x dx
=2x^(3/2)/3-x²/2 |(1到4)
=2×4^(3/2)/3-16/2-(2/3-1/2)
=16/3-8-2/3+1/2
=-17/6
5.原式
=3x²/2-cosx |(0到π/2)
=3π²/8-cosπ/2-(0-cos0)
=3π²/8+1
6.原式
=e^x-2lnx |(1到2)
=e²-2ln2-(e^1-2ln1)
=e²-2ln2-e