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Section 5.2 : Computing Indefinite Integrals

For problems 1 – 43 evaluate the given integral.

  1. 7x55x4+6x214x+3dx
  2. t49t3+12t27tdt
  3. 418w119w9+8w7+2w5dw
  4. x96x421x21+9xdx
  5. 7dz
  6. 4dw
  7. 10z6+8z5z2+1dz
  8. y16+24y1214y82y4dy
  9. 2x9+12x5+7x3x2dx
  10. 5z4+5z49dz
  11. 6t3+8t6+t10dt
  12. x3+9x2+11x87x12dx
  13. 7w2+393w7dw
  14. w5+w55wdw
  15. 63v274vdv
  16. 6y317y6+1y2dy
  17. 8+u51u5+16u5du
  18. 12x5+14x8+67x2dx
  19. 3t51t9+t4dt
  20. 2z6157z8+9dz
  21. x3+1x3x3dx
  22. x6(14x2+x3)dx
  23. (62u)2du
  24. 2(3+y)(4y3)dy
  25. w(3w4w)dw
  26. 3v(v216v2+3v2)dv
  27. 8x52x3+7x2dx
  28. 9z+2z4+10z6z4dz
  29. 2t4t+3tt2dt
  30. (1x)(2+x)xdx
  31. 6sin(t)2cos(t)dt
  32. sec2(u)+7sec(u)tan(u)du
  33. csc2(y)sec2(y)dy
  34. 8cos(z)3csc(z)cot(z)dz
  35. tan(x)[cot(x)cos(x)]dx
  36. cos3(v)+sin(v)cos2(v)dv
  37. w2+2ewdw
  38. et+2tdt
  39. 14x3x2dx
  40. eu(e2u+eu)du
  41. 17z+1ez+14z8dz
  42. 1+w261+w2dw
  43. 51+t2+1101t2dt
  44. Determine f(x) given that f(x)=12x5+30x2 and f(4)=23.
  45. Determine h(z) given that h(z)=12z314z2+10 and h(1)=8.
  46. Determine g(v) given that g(v)=12v1214v34 and g(16)=1.
  47. Determine P(t) given that P(t)=6et410t and P(0)=6.
  48. Determine g(x) given that g(x)=12x230x+4, g(1)=7 and g(2)=3.
  49. Determine f(u) given that f(u)=60u460u2, f(1)=14 and f(1)=6.
  50. Determine h(t) given that h(t)=6t14+9et, h(0)=4 and h(3)=9e3+8.