题目
1.求下列不定积分:-|||-(1) int dfrac (sqrt {x)-2sqrt [3](x)-1}(sqrt [4]{x)}dx-|||-(2)farcsin xdx;-|||-(3) int dfrac (dx)(1+sqrt {x)}-|||-(4)|e^(-1)m^2sin2xdx;-|||-(5)int (e)^sqrt (x)dx;-|||-(6) int dfrac (dx)(xsqrt {{x)^2-1}}-|||-(7) int dfrac (1-tan x)(1+tan x)dx ;-|||-(8) int dfrac ({x)^2-x}({(x-2))^3}dx;-|||-(9) int dfrac (dx)({cos )^4x}-|||-(10)int (sin )^4xdx;-|||-(11) int dfrac (x-5)({x)^3-3(x)^2+4}dx-|||-(12) int arctan (1+sqrt (x))dx;-|||-(13) int dfrac ({x)^7}({x)^4+2}dx;-|||-(14) int dfrac (tan x)(1+tan x+{tan )^2x}dx-|||-(15) int dfrac ({x)^2}({(1-x))^100}dx;-|||-(16)int dfrac (arcsin x)({x)^2}dx-|||-(17) int xln (dfrac (1+x)(1-x))dx;-|||-(18) int dfrac (dx)(sqrt {sin xcos {x)^7x}}-|||-(19) int (e)^x((dfrac {1-x)(1+{x)^2})}^2dx;-|||-(20) _(n)=int dfrac ({v)^n}(sqrt {u)}dx, 其中 =(a)_(1)+(b)_(1)x =(a)_(2)+(b)_(2)x, 求递推形式解.

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