Bai Tap Tich Phan

<span class='text_page_counter'>(1)</span>BÀI TẬP TÍCH PHÂN 1. 5x  13. 0 x2  5x  6 dx. 1. A =. 1. 2.. (2x  1)e 0 A= . 0 x2  3x  2  2. 4. A=. dx. dx. 1. 3. A =. 2x. 0. cos x  sin x cos x dx 2  sin x.  2. e. sin 2 x. .sin2 xdx. 5. A= 0. 1 3 x (1  6. A= 0. . x 2 )3 dx.  2 esin x cos xdx 7. A= 0. .  2. 8..  sin A= 0. 3. x cos xdx. 1  x2 e xdx 0 9. A=. .

<span class='text_page_counter'>(2)</span> e. 4. 10. A=. 1. x. x. dx.  2 0 11. A =.   1  sin. 2. . 2. x sin2xdx. dx 1 x(1  x) A= 4. 12.. ln 8. ln 3. e2x dx ex  1. 13. A =. dx x  2 1. 7. 14. A =. 15.. 0. 0 A= . 16. A=. 0 3. 17. A=. 0. 3 5. x3. 7 3. 3. 2. 3. 1 x. 2. x5 3. x 1. dx. dx. dx. 3. x 1  x3. 4. dx. 18. A=. 7 19. A=. x2  1 dx. x. x x2  9.

<span class='text_page_counter'>(3)</span> xdx 2x  1. 4. 20. A=. 0. 21. B=. π 2.  e 1+2 sin x . cos xdx 0. 1. 22. C =.  1+x√ x dx 0 8. 23. D =. x dx  √1+ x 3. ln √ 2.  dx e x + e− x. 24. E =. 0. π 2. 25. F =. x dx  cos 3 sin x π 6. 1. 26. A =.  e x sin e x dx 0. 1. I ( x 2  1).e x dx 27.. 0. 2. I x x 2  3dx 28.. 1. . I x.sin xdx 29.. 0. . I (ecos x  1).sin xdx 30.. 0.

<span class='text_page_counter'>(4)</span> 1. 31.. I xe  x dx. 32.. I ( x  1)e x dx. 0. 1. 0. e. 33. A =.  √ x ln x .dx 1. π 2. 34.. I = (2 x+ 1). cos x . dx 0. 3. 35.. 3 dx 2   5 x  2 x  3 A= 2 3. 36.. 2x  3 dx 2  5 x  3 x  8 A=2 2. 37. A =. x2 − 4 x+ 7  x +1 dx 1 1. 38. A =. 2. 7 dx  xx 2++34 x+ x+2 0. 1. 2 x 2 +3 x −1 dx 39. A =  2 x − x −2 0 1. x4 dx 40. A =  0 x −3 1. 41. A =. 3. 2. + 2 x +7 dx  x − 4 xx+1 0. π. 42. A =.  cos 3 x .cos 2 x . dx 0. π. 43. A =.  sin x . sin 3 x . dx 0.

<span class='text_page_counter'>(5)</span> π 6. 44. A =.  sin 2 x . cos x . dx 0. π 2. 45. A =.  sin 4 x . cos3 x . dx 0. π. 46.. I = sin3 x . cos2 x . dx 0. π. 47.. A= sin 5 x .dx 0 π 2. 48.. A= sin 3 x .dx 0 π. 49.. A= sin 4 x . dx 0.  4. 1 A  4 .dx  sin x 50.. 6 π. 51.. A= cos3 x . dx 0 π. 52.. A= cos5 x . dx. 53.. A= cos4 x . dx. π 2 π 0. π 4. 54. A=  0.  2. 55.. 1 .dx 4 cos x. sin2 x A  2 .dx cos x  3 0.

<span class='text_page_counter'>(6)</span>  2. 56.. sin 2 x A  .dx 2 3  sin x 0 π 2. 57.. 2. A= e2 +sin x . sin 2 x . dx 0.  e  3 e A e 1 x. ln 5. x. x. 58.. dx. ln 2 e2. 59.. 1 A   4 .dx x.ln x e ln5. 60.. ( e x + 4 ) e2 x. A= . e x +2. 0. e. 61.. A= 1. dx 2. ln x . √ 2+ ln x .dx x. 1. 62.. I = x 5 . √ 1 − x 2 . dx 0. 5 8. 63.. 9. 1− x ¿ x dx ¿ 1. I = ¿ 0. 6. 64.. 4. 5. x − 1¿ x dx ¿ 1. I = ¿ 0. 2. 65.. A= 1. x .dx 1+ √ x −1. ln3. e− x . dx −x ln 2 2 e +1. 66.. A= . 67.. A= . ln5. e2 x . dx x ln 2 e +1.

<span class='text_page_counter'>(7)</span> ln 4. 68.. A= . ln 3 ln 4. 69.. A= . ln 3. 1 . dx e +3 x. 1 . dx e +5 x. x 2. 70.. 1+e ¿ ¿ ¿ ¿ ln 4. A=  ¿ ln 3. ln3. 71.. 1 . dx ln 2 e +3. A= . 2x. π. 72.. A= x sin x . dx π 2. π 2. 73.. A= x cos 6 x . dx 0. 1. 74.. A= x . e2 x . dx 0. e. 75.. A= ln x . dx 1. e. 76.. A= x ln x . dx 1. e. 77.. 2. A= x 2 ln 2 x .dx e. e. 78.. A= − x 3 ln x . dx 1. e. 79. .. A= x ln 2 x . dx 1. π 2. 80.. A= x 2 cos x . dx 0.

<span class='text_page_counter'>(8)</span> π 2. 81.. 2. A= x sin 2 x .dx 0. 1. 82.. A= x . e2 x . dx 0. π 2. 83.. A= esin 2 x cos 2 x . dx 0 π 2. 84.. A= ecos 2 x sin 2 x . dx 0 π 2. 85.. 2. A= esin x sin 2 x . dx 0 π 2. 86.. 2. A= ecos x sin 2 x . dx 0. . sin x A  .dx 4 cos x  3  87.. 2 π. 88.. A= 0. π 2. 89.. A= 0. ln 5. sin x . dx 2 −cos x. sin2 x . dx cos 2 x +3. e. A 90.. ln 3. x.  3 e x. ex  1. π. 91.. A= e x cos x . dx 0 π 2. 92.. A= e x sin x . dx 0. dx.

<span class='text_page_counter'>(9)</span> 1. A= ( x +1)e 2 x . dx. 93.. 0. e. ln x . dx x2. A=. 94.. 1. x+1 ¿2 ¿ ¿ ln x ¿. 95.. e. A= ¿ 1. ln3. 1 . dx −x ln 2 1 −e. A= . 96.. 4. A=. 97.. −1. 2 . dx √ x +5+ 4. 1. e− 2 x A= .dx −x 0 1+e. 98..  4. 1 A  2 .dx  sin x. cot x 6. 99.. 2 x √ x .− 1 ¿6 √ x dx ¿. 100.. 1. A= ¿ 0. e3. 101.. 1 A   4 dx x ln x e π 2. 102.. B= π 6. 2. 103.. A= 1. cos 3 x .dx ; 3 √ sin x ( x+1). dx ; x 2+ x ln x.

<span class='text_page_counter'>(10)</span> π 4. 104.. A= 0. e. 105.. 2. A= 1 1. 106.. A= 0. √ tgx . dx ;. cos2 x. 7 x − 2 √x − 5 . dx ; x e x −e − x dx; e x + e− x. ln √3. 107.. A=  0. . dx ; e x +e − x. 3. 108.. A= |x −2|. dx ; −3 4. 109.. B=|x 2 − 3 x+2|. dx -1 π 6. 110.. A= √1+ 4 sin x cos . dx ; 0. π 4. 111.. A= 0. sin x −cos x dx ; sin x +cos x. π 2. 112.. 3. B= √ sin x − sin x dx 0. e. 113.. A= √ 1. π 3. 114.. A= π 4. 1+ ln x dx ; x. x . dx ; sin 2 x. π 2. 115.. −x. B= e . cos 3 x . dx 0. ln2. 116.. A=  x . e− x .dx ; 0. e. 117.. B= ln 3 x . dx 1. 1. 118.. B= x . ln ( x2 +1). dx 0.

<span class='text_page_counter'>(11)</span> e. A ( x 2  x  1) ln x.dx 1. 119.. π 2. 120.. B= x . sin x . cos xdx 0. π 2. 121.. 122. I. π I = cos( − 2 x )dx 4 0 π 2. =.  sin2 2 xdx 0. 1. 123. I. 2.  e − 4 x xdx. =. 0.  4. 124. I. 125. I. tan xdx. =0. π 4. =.  tan2 xdx 0. 126. I. π 4. =.  tan3 xdx 0. 127. I. π 4. =.  tan4 xdx 0. 128. I. π 4. =.  tan5 xdx 0.  4. cot xdx. 129. I.  =6. 2. 130. I. =. ( −1. 2. x−1 dx x +2. ).

<span class='text_page_counter'>(12)</span> / 2 x. 131. A =. sin x.e .dx 0 1. e x (1+ x) dx 132. I =  x 0 1+ xe π/2. 133. I =.  (esin x +cos x )cos x . dx 0. ln 2. 134. I =. 135. I =. 1 − ex  1+e x dx 0 π 2.  (e sin x+ x )cos xdx 0. 4. 136.. I = |x 2 − 4 x +3|dx 2. 1. 137.. I = |x 2 − 4|dx −3 2. 138.. I = |x 2+ x −2|dx 0 2. 139.. I = |2 x2 −7 x +5|dx 0 1. 140.. I = |x 2+ x+5|dx 0 1. 141.. I = |−2 x 2+ x −1|dx 0. 142.. ¿ 2. 1. 143.. I = |− 2 x 2 −5|dx −1 2. 144.. I = |x 2 − 2 x +1|dx 0 4. 145.. I = |− x 2 +6 x − 9|dx 0.

<span class='text_page_counter'>(13)</span> 1. 146.. I = |x 2 − 4 x +4|dx 0. 1. 147.. I = |x 2+ 8 x +16| dx 0. 1. 148.. B= −1. 1. 2. 149.. 150.. B=. 2. dx (x = 2tant). 0. ( x + 4). 1. 1 dx x +3. B= 0 1 2. 151.. dx. 1 2. B= 0. (x = tant). 2. ( 1+ x 2 ). 2. 1 dx √1 − x 2. (x = cost). 1. 152.. B= √ 1− x 2 dx 0. π 2. 153.. B= 0. π 4. 154.. B= 0. cos x dx 1+ cos x 1 dx 1+sin 2 x. π 2. 155.. B= e 0. 2. sin x. 3. sin x cos xdx. ..

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