? Bc??s x1??s￥à Q 1. p/ ??s  1R (x5 +x3 ? px 4 )dx  2R (5?x)3 dx  3R (px+ 3px+ 3px + 23px)dx  4R dxx4(1+x2)  5R 3x21+x2dx  6R x+1px dx  7R (2sinx?4cosx)dx  8R (3?sec2 x)dx  9R (tan2 x+3)dx  10R 2+sin2 xcos2 x dx  11R tanxcos2 x 2?sin 2 x 2 dx  12R cos2xcosx?sinxdx  13R dx1+cos2x  14R (5x +1)2dx  15R (2x +(13)x ? ex5 )dx  16R ex(1? e?xpx)dx 1  17R (cosx? 21+x2 ? 14p1?x2)dx  18R pxpxdx  19R 22x3xdx  20R ( 3p4?4x2 +sinx)dx 2 pB wLy = f(x) ??(x;f(x)))￥ ML￥| q12x OYV ?(2;5) 3X?f(x) ?@ó?￥1" T k pf(x) (1) xf0(x) = 1(x > 0) (2) f0(x)x = 1(x > 0) (3) f(x)f0(x) = 1(x > 0) (4) f0(x)f(x) = 1(f(x) > 0). x2DísEDs?sE 1¨X±sE p/ ??s  1R 15x?6dx  2R 1x(1+2x)dx  3R 1px+1+px?1dx  4R ( 1p3?x2 + 1p1?3x2)dx  5R 12+3x2dx  6R e?x2dx 2  7R xe?x2dx  8R ex1+exdx  9R dxex+e?x+2  10R dxex+e?x  11R tanxdx  12R tan5 xsec2 xdx  13R 1?2sinxcos2 x dx  14R dxAsin2 x+Bcos2 x  15R cos5 xdx  16R dx1+sinx  17R cos2xsinxcosxdx  18R sinxcosx1+sin4 x dx  19R x4+x2dx  20R x4+x4dx  21R 5?4x3x?2dx  22R sin2xcos3xdx  23R (lnx)2x dx  24R sin 1x:dxx2  25R (arcsinx)2p1?x2 dx 3  26R arctanx1+x2 dx  27R dxpxp1+px  28R dxpx(1+x)  29R exp1?e2xdx  30R p1+sinxdx 2¨DísE p/ ??s  1R px2 ?a2dx  2R x2p4?x2dx  3R xp5+x?x2dx  4R p2+x?x2dx  5R dx(x2+a2)3=2  6R dxx+px2?1  7R e px+1 dx  8R px+1?1 px+1+1dx  9R px 1+ 3pxdx  10R x1+pxdx  11R x5p1?x2dx  12R x2+2(x+1)3dx 3¨s?sE p/ ??s 4  1R x2 cosxdx  2R x3 lnxdx  3R lnxdx  4R arctanxdx  5R arctanxdxp1?x  6R xarctanxdx  7R lnxx3 dx  8R cos(lnx)dx  9R sec5 xdx  10R xln(1+x1?x)dx  11R xsin2 xdx  12R xcos2 xdx  13R [ln(lnx)+ 1lnx]dx  14R xex(x+1)2dx  15R (arcsinx)2dx  16R xsin2 xdx  17R ln(x+p1+x2)dx  18R pxln2 xdx 4 p/ ??s￥?w T 5  1In = R xnekxdx  2In = R (lnx)ndx  3In = R tann xdx  4In = R (arcsinx)ndx 5 p/ μ ?f ?￥??s  1R x5+x4?8x3?x dx  2R dx(x+1)(x2+1)dx  3R x21?x4dx  4R dx1+x3dx  5R x?2x2?7x+12dx  6R x+4(x2?1)(x+2)dx  7R dx1+x4dx  8R 2x?3x2+2x+1dx  9R dxx2+4x+2dx  10R dx8?2x?x2dx 6 p/  ??μ ? T￥s  1R dx4+5cosx  2R dx5+4sin2x  3R dx2+sin2 x 6  4R secxdx(1+secx)2  5R dx1+tanx  6R dx(2+cosx)sinx  7R sinxcosxsinx+cosxdx  8R sin3 x1+cos2 xdx  9R tan3 xdx  10R dxsin2 xcosx  11R cosxdxsinx+2cosxdx  12R sin2 x1+cos2 xdx 7 p/ í ?f ?￥??s  1R dxx(1+2px+ 3px)dx  2R px+1?px?1 px+1+px?1dx  3R dxxpx2+2x+2  4R xpx2 ?2x+2dx  5R q 1?x 1+x dx x2  6R dxpx2+x  7R x2dxp1+x?x2  8R px2 +x+1dx  9R dxx 4p1+x4 7  10R xdx4px3(1?x) 8 p/ ??s  1R dxp(x?a)(x?b)  2R dxx2pfix2+fl  3R xex sinxdx  4R xex cosxdx  5R dxsin(x+a)sin(x+b)  6R tanxtan(x+fi)dx  7R x3 arccosxp1?x2 dx  8R tanx1+tanx+tan2 xdx  9R xexdxp1+exdx  10R x+sinx1+cosxdx  11R 1?tanx1+tanxdx  12R esinx sin2xdx  13R arctan(1+px)dx  14R dx(1+2x)4 8