1、所求面积=∫(√x-x)dx
=[(2/3)x^(3/2)-x^2/2]│
=2/3-1/2
=1/6;
3、所求面积=∫(x-1/x)dx
=(x^2/2-lnx)│
=2-ln2-1/2
=3/2-ln2;
4、所求面积=∫e^ydy
=(e^y)│
=e^(lnb)-e^(lna)
=b-a.
1、所求面积=∫(√x-x)dx
=[(2/3)x^(3/2)-x^2/2]│
=2/3-1/2
=1/6;
3、所求面积=∫(x-1/x)dx
=(x^2/2-lnx)│
=2-ln2-1/2
=3/2-ln2;
4、所求面积=∫e^ydy
=(e^y)│
=e^(lnb)-e^(lna)
=b-a.