题目
求下列不定积分:-|||-(1) int dfrac (1)(5x-3)dx ;-|||-(3) int dfrac (1)(sqrt {x+1)+sqrt (x-1)}dx ;-|||-(5) int dfrac (2x)(1+{x)^2}dx =-|||-(7) int (dfrac (1)(sqrt {3-{x)^2}}+dfrac (1)(sqrt {1-3{x)^2}})xdx-|||-(9) int dfrac ({e)^x}(1+{e)^x}dx-|||-(11)int (tan )^5x(sec )^4xdx;-|||-(13) int dfrac (dx)({sin )^2x+2(cos )^2x} .-|||-(15) int dfrac (1)({sin )^4x}dx ;-|||-(17) int dfrac (sin xcos x)(1+{sin )^4x}dx =-|||-(19) int dfrac (3{x)^3}(1-{x)^4}dx ;-|||-(21) int dfrac (1-x)(sqrt {9-4{x)^2}}dx ;-|||-(23) int dfrac (x)(4+{x)^2}dx ;-|||-(25) int dfrac ({e)^x}({x)^2}dx =-|||-(27) int dfrac (arcsin x)(sqrt {1-{x)^2}}dx-|||-(29) int dfrac (1)(sqrt {x)(1+x)}dx =-|||-(31) int dfrac (1)(4{x)^2+4x+5}dx ;-|||-(33) int dfrac (1)(sqrt {5-2x-{x)^2}}dx =-|||-(35) int dfrac (1)(xsqrt {{x)^2-1}}dx .-|||-(2) int ((3-2x))^3dx =-|||-(4) int (a)^3xdx =-|||-(6) int x(e)^-(x^2)dx ;-|||-(8) int dfrac (1)(xln xln ln x)dx :-|||-(10) int dfrac (1)({e)^x+(e)^-x+2}dx =-|||-(12) int dfrac (1-2sin x)({cos )^2x}dx =-|||-(14)int (tan )^4xdx;-|||-(16)int (sin )^2x(cos )^5xdx;-|||-(18) int dfrac ({x)^2}(sqrt [3]{{({x)^3-5)}^2}}dx-|||-(20) int dfrac ({x)^3}(9+{x)^2}dx =-|||-(22) int dfrac (1)(4+{x)^2}dx .-|||-(24) int dfrac (x)(4+{x)^4d}dx =-|||-(26) int dfrac (arctan sqrt {x)}(sqrt {x)(1+x)}dx :-|||-(28) int dfrac ({(arctan x))^2}(1+{x)^2}dx-|||-(30) int dfrac (1)(sqrt {x(1+sqrt {x)})}dx-|||-(32) int dfrac (1)({x)^2-x-6}dx =-|||-(34) int dfrac ({x)^2}(sqrt {4-{x)^2}}dx =-|||-(36) int dfrac (sqrt {{x)^2-(a)^2}}(x)dx ;求下列不定积分:-|||-(1) int dfrac (1)(5x-3)dx ;-|||-(3) int dfrac (1)(sqrt {x+1)+sqrt (x-1)}dx ;-|||-(5) int dfrac (2x)(1+{x)^2}dx =-|||-(7) int (dfrac (1)(sqrt {3-{x)^2}}+dfrac (1)(sqrt {1-3{x)^2}})xdx-|||-(9) int dfrac ({e)^x}(1+{e)^x}dx-|||-(11)int (tan )^5x(sec )^4xdx;-|||-(13) int dfrac (dx)({sin )^2x+2(cos )^2x} .-|||-(15) int dfrac (1)({sin )^4x}dx ;-|||-(17) int dfrac (sin xcos x)(1+{sin )^4x}dx =-|||-(19) int dfrac (3{x)^3}(1-{x)^4}dx ;-|||-(21) int dfrac (1-x)(sqrt {9-4{x)^2}}dx ;-|||-(23) int dfrac (x)(4+{x)^2}dx ;-|||-(25) int dfrac ({e)^x}({x)^2}dx =-|||-(27) int dfrac (arcsin x)(sqrt {1-{x)^2}}dx-|||-(29) int dfrac (1)(sqrt {x)(1+x)}dx =-|||-(31) int dfrac (1)(4{x)^2+4x+5}dx ;-|||-(33) int dfrac (1)(sqrt {5-2x-{x)^2}}dx =-|||-(35) int dfrac (1)(xsqrt {{x)^2-1}}dx .-|||-(2) int ((3-2x))^3dx =-|||-(4) int (a)^3xdx =-|||-(6) int x(e)^-(x^2)dx ;-|||-(8) int dfrac (1)(xln xln ln x)dx :-|||-(10) int dfrac (1)({e)^x+(e)^-x+2}dx =-|||-(12) int dfrac (1-2sin x)({cos )^2x}dx =-|||-(14)int (tan )^4xdx;-|||-(16)int (sin )^2x(cos )^5xdx;-|||-(18) int dfrac ({x)^2}(sqrt [3]{{({x)^3-5)}^2}}dx-|||-(20) int dfrac ({x)^3}(9+{x)^2}dx =-|||-(22) int dfrac (1)(4+{x)^2}dx .-|||-(24) int dfrac (x)(4+{x)^4d}dx =-|||-(26) int dfrac (arctan sqrt {x)}(sqrt {x)(1+x)}dx :-|||-(28) int dfrac ({(arctan x))^2}(1+{x)^2}dx-|||-(30) int dfrac (1)(sqrt {x(1+sqrt {x)})}dx-|||-(32) int dfrac (1)({x)^2-x-6}dx =-|||-(34) int dfrac ({x)^2}(sqrt {4-{x)^2}}dx =-|||-(36) int dfrac (sqrt {{x)^2-(a)^2}}(x)dx ;


题目解答
答案


