fall02 Integration problems from old exams

Thomas' Calculus: Early Transcendentals

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Mat104 Fall 2002, Integration Problems From Old Exams Compute the following integrals (1) Z sin 5 x cos x dx (2) Z dx (4 + x 2 ) 5 / 2 (3) Z sin( 1 + x ) dx (4) Z arctan( x ) dx (5) Z cos 4 x dx (6) Z π/ 2 0 cos x 4 - sin 2 x dx (7) Z ln(1 + ln x ) x dx (8) Z x 2 arctan x dx (9) Z 2 - 1 dx (4 + 2 x + x 2 ) 5 / 2 (10) Z x sin( x 2 ) e x 2 dx (11) Z dx x 2 + 25 (12) Z 2 + x 3 x + 2 + x dx (13) Z 3 x 2 x 2 + x - 2 dx (14) Z cos 3 x 3 x dx (15) Z dx x 2 + 2 x (16) Z x 2 + 3 x - 3 ( x + 1)( x 2 + 6 x + 10) dx (17) Z dx x 1 - x 2 (18) Z x 3 e x 2 dx (19) Z x 2 ln x dx (20) Z x 3 1 - x 2 dx (21) Z tan 4 θ dθ (22) Z x + 1 x 2 + 4 x + 13 dx (23) Z π/ 2 0 cos x sin 2 x + 5 sin x + 6 dx (24) Z e x/ 2 1 + e x dx (25) Z 2 x 2 + 5 x + 10 x 3 + 2 x 2 + 10 x dx (26) Z ( x - 2) 9 - x 2 dx (27) Z e 1 arcsin(ln x ) x dx (28) Z 1 0 xe - x dx 1
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2 (29) Z (ln x ) 2 dx (30) Z sin x 1 + cos x dx (31) Z x 2 x 6 - 1 dx (Hint: Try a substitution first.) (32) Z sin 5 x cos 2 x dx (33) Z 1 + e x 1 - e x dx (34) Z e 1 sin(ln
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Unformatted text preview: x ) dx (35) Z e √ x dx (36) Z dx (4-x 2 ) 3 / 2 (37) Z 3 2 e 1 /x x 2 dx (38) Z √ x 2-4 x 3 dx (39) Z x-1 x 3 + x dx (40) Z dx x 2 √ x 2 + 4 (41) Z sin( √ x ) dx (42) Z dx x (1-x ) 2 (43) Z ( x-5)( √ x-1 + 3) √ x-1 + 2 dx (44) Z (2 x + 3) ln x dx (45) Z √ 9 + x 2 x 2 dx (46) Z x ( x 2 + 1)( x + 1) dx (47) Z 1 ( e x + 1) 20 e x dx (48) Z x 2 x 2 + 4 x + 5 dx (49) Z x + 1 x 2 + 2 x + 3 dx...
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fall02 Integration problems from old exams - x dx(35 Z e...

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