求详解,高数.定积分
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求详解,高数.定积分
求详解,高数.定积分
求详解,高数.定积分
24 切线y=kx
k=2x-2
(2x-2)x=x^2-2x+4
x^2-4=0
x=2或x=-2
切线y=2x y=-6x
切线面积 S=S(0,2){x^2-2x+4-2x}dx+S(-2,0){x^2-2x+4+6x}dx=
立体体积S=πS(0,2){(x^2-2x+4)^2-4x^2}dx+πS(-2,0){(x^2-2x+4)^2-36x^2}dx=
16 原式=-2 S(0,π/2)dcosx/(1+cos^2x)=-2arctan(cosx)|(0,π/2)=π/2
8 A