4.求下列不定积分(其中a,b为常数):-|||-(1) int dfrac (dx)({e)^x-(e)^-x} ;-|||-(3) int dfrac ({x)^2}({a)^6-(x)^6}dx(agt 0) ;-|||-(4) int dfrac (1+cos x)(x+sin x)dx ;-|||-(5) int dfrac (ln ln x)(x)dx ;-|||-(6) int dfrac (sin xcos x)(1+{sin )^4x}dx ;-|||-(7)int (tan )^4xdx;-|||-(8)int sin xsin 2xsin 3xdx;-|||-(9) int dfrac (dx)(x({x)^6+4)} =-|||-(10) int sqrt (dfrac {a+x)(a-x)}dx(agt 0) ;-|||-(11) int dfrac (dx)(sqrt {x(1+x))} ;-|||-(12)int x(cos )^2xdx;-|||-(13) int (e)^axcos bxdx ;-|||-(14) int dfrac (dx)(sqrt {1+{e)^-1}}} :-|||-(15) int dfrac (dx)({x)^2sqrt ({x)^2-1}} :-|||-(16) int dfrac (dx)({({a)^2-(x)^2)}^5/2} =-|||-(17) int dfrac (dx)({x)^4sqrt (1+{x)^2}} ;-|||-(18) int sqrt (x)sin sqrt (x)dx-|||-(19) int ln (1+(x)^2)dx-|||-(20) int dfrac ({sin )^2x}({cos )^3x}dx ;-|||-(21) int arctan sqrt (x)dx =-|||-(22) int dfrac (sqrt {1+cos x)}(sin x)dx ;-|||-(23) int dfrac ({x)^3}({(1+{x)^8)}^2}dx :-|||-(24) int dfrac ({x)^11}({x)^8+3(x)^4+2}dx :-|||-(25) int dfrac (dx)(16-{x)^4} ;-|||-(26) int dfrac (sin x)(1+sin x)dx ;-|||-(27) int dfrac (x+sin x)(1+cos x)dx =-|||-(28) int (e)^sin xdfrac (x{cos )^3x-sin x}({cos )^2x}dx-|||-(29) int dfrac (sqrt [3]{x)}(x(sqrt {x)+sqrt [3](x))}dx-|||-(30) int dfrac (dx)({(1+{e)^x)}^2} =-|||-(31) int dfrac ({e)^3x+(e)^x}({e)^4x-(e)^2x+1}dx ;-|||-(32) int dfrac (x{e)^x}({({e)^x+1)}^2}dx :-|||-(33) int (ln )^2(x+sqrt (1+{x)^2})dx ;-|||-(34) int dfrac (ln x)({(1+{x)^2)}^dfrac (3{2)}}dx :-|||-(35) [√(1-x^2)arcsin xdx;-|||-(36) int dfrac ({x)^3arctan x}(sqrt {1-{x)^2}}dx-|||-(37) int dfrac (cot x)(1+sin x)dx ;-|||-(38) int dfrac (dx)({sin )^3xcos x}-|||-__ __-|||-(39) int dfrac (dx)((2+cos x)sin x)-|||-;-|||-(40) int dfrac (sin xcos x)(sin x+cos x)dx .-|||-(2) int dfrac (x)({(1-x))^3}dx ;