# WS_00.pdf - MATH 24 WORKSHEET ZERO A REVIEW OF THINGS YOU...

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MATH 24WORKSHEET ZEROA REVIEW OF THINGS YOU SHOULD KNOW1.The One Hundred Integrals Challenge!A long time ago these were assigned to me to complete over a weekend.Now it’s your turn!Once you get past like 20 (depending on the person), you’ll find finishingthe rest is cake. You get into the zone after a certain point.Problem (19) is widely believed to be the toughest.1I believe in you!\m/<3(1)Zxsin-1(x)dx(2)Z10ln(1 +x)dx(3)Zsec3(3x)dx(4)Z10exdx(5)Zcos3(2x) sin2(2x)dx(6)Zcos4(x)dx(7)Ztan(x) sec5(x)dx(8)Ztan(x) sec6(x)dx(9)Z1(x2+ 16)32dx(10)Z1x29-x2dx(11)Z9-x2xdx(12)Zx(x2+ 1)2dx(13)Zx3+ 2x(x-2)3dx(14)Z2x+x3dx1Ask me about that problem sometime.1
(15)Zx3-20x2-63x-198x4-81dx(16)Zx-1(x+ 2)5dx(17)Zx4 + 4x-x2dx(18)Zxx2+ 4x+ 5dx(19)Z3x+ 27xdx(20)Zsin(x)3 + 2 cos(x)dx(21)Ze2xsin(3x)dx(22)Zcos(ln(x))dx(23)Zsin3(x) cos3(x)dx(24)Zcot2(3x)dx(25)Zx8-x2dx(26)Z1x4x2-9dx(27)Zx5-x3+ 1x3+ 2x2dx(28)Zx3x3-3x2+ 9x-27dx(29)Z1x3/2+x1/2dx(30)Z2x+ 1(x+ 5)100