HWset1 - (1(2(3(4(5(6(7 Homework 1 Due February 2 2012 NYTI set 1(Techniques for integration I sin x)dx x5x dx x5 ln xdx tx e sin(t x)dx 0 x ln(1 x)dx x

HWset1 - (1(2(3(4(5(6(7 Homework 1 Due February 2 2012 NYTI...

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Homework 1 Due February 2, 2012 NYTI set 1(Techniques for integration I) (1) R sin( x ) dx (2) R x 5 x dx (3) R x 5 ln xdx (4) R t 0 e x sin( t - x ) dx (5) R x ln(1 + x ) dx (6) R x sec 2 (2 x ) dx (7) R x arctan xdx NYTI set 2(Techniques for integration II) (1) R tan 5 xdx (2) R cos 5 x sin x dx (3) R sin 3 ( x ) x dx (4) R x sec x tan xdx (5) R cos x +sin x sin 2 x dx (6) R 1 - tan 2 x sec 2 x dx (7) R x cos 2 xdx (8) R cos x cos 5 (sin x ) dx (9) Show R tan 3 x cos 4 x dx = tan 4 x 4 + tan 6 x 6 + c (10) R dx cos x - 1 (11) R x sec 2 ( x 2 ) tan 4 ( x 2 ) dx NYTI set 3(Techniques for integration III) (1) R 1 (5 - 4 x - x 2 ) 5 / 2 dx (2) R 1+ x 2 x dx (3) R 1 x 2 +3 x - 4 dx (4) R 40 + 6 x - x 2 dx (5) R 0 - π 2 cos x 1+sin 2 x dx NYTI set 4(Techniques for integration IV)

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