A20x 1)(x +4x +5) (E 35x dx 56. 2x+ 1 dx x2+ 4 55. 77 x4 X 1 dx x+9x dx 58. a 'lowing 57. (x2+3) 3+6x + 12x + 6 dx 2 60. dy 59. (x2 6x + 10) (y2 1)(22) 2 dx 61. dx 62. 11 6 (x+ 1)(x +2x + 2)2 x +1) 9x2 +x + 21 63. 264. 9x5 6x3 dx dx (3x2+7) (3x2+ 1) 65. Explain why or why not Determine whether the following state- ments are true and give an explanation or counterexample. a. To evaluate do4x on dx, the first step is to find the partial Iraction decomposition of the integrand. 20x &1)(x + 4x +5) (E 2x + 1 )2 dx 56. dx x2+4 3+5x dx 4 + 1 dx +9x 58. ollowing 57 (x23) +6x2+ 12x +6 dx dy 60. 59. (x26x + 10)2 (y2+ 1)02+2) 2 dx dx 62. 61. x(x 1)2 (x+ 1)( +2x+ 2) 11 (x + 1) 9x2 +x+ 21 63. (3x2+7) 9x36x dx 99 dx 64. (3x2+1) , Explain why or why not Determine whether the following stat ments are true and give an explanation or counterexample. a. To evaluate o4xo dx, the first step is to find the partia x4 +3x2 Traction decomposition of the integrand. X
A20x 1)(x +4x +5) (E 35x dx 56. 2x+ 1 dx x2+ 4 55. 77 x4 X 1 dx x+9x dx 58. a 'lowing 57. (x2+3) 3+6x + 12x + 6 dx 2 60. dy 59. (x2 6x + 10) (y2 1)(22) 2 dx 61. dx 62. 11 6 (x+ 1)(x +2x + 2)2 x +1) 9x2 +x + 21 63. 264. 9x5 6x3 dx dx (3x2+7) (3x2+ 1) 65. Explain why or why not Determine whether the following state- ments are true and give an explanation or counterexample. a. To evaluate do4x on dx, the first step is to find the partial Iraction decomposition of the integrand. 20x &1)(x + 4x +5) (E 2x + 1 )2 dx 56. dx x2+4 3+5x dx 4 + 1 dx +9x 58. ollowing 57 (x23) +6x2+ 12x +6 dx dy 60. 59. (x26x + 10)2 (y2+ 1)02+2) 2 dx dx 62. 61. x(x 1)2 (x+ 1)( +2x+ 2) 11 (x + 1) 9x2 +x+ 21 63. (3x2+7) 9x36x dx 99 dx 64. (3x2+1) , Explain why or why not Determine whether the following stat ments are true and give an explanation or counterexample. a. To evaluate o4xo dx, the first step is to find the partia x4 +3x2 Traction decomposition of the integrand. X
A20x 1)(x +4x +5) (E 35x dx 56. 2x+ 1 dx x2+ 4 55. 77 x4 X 1 dx x+9x dx 58. a 'lowing 57. (x2+3) 3+6x + 12x + 6 dx 2 60. dy 59. (x2 6x + 10) (y2 1)(22) 2 dx 61. dx 62. 11 6 (x+ 1)(x +2x + 2)2 x +1) 9x2 +x + 21 63. 264. 9x5 6x3 dx dx (3x2+7) (3x2+ 1) 65. Explain why or why not Determine whether the following state- ments are true and give an explanation or counterexample. a. To evaluate do4x on dx, the first step is to find the partial Iraction decomposition of the integrand. 20x &1)(x + 4x +5) (E 2x + 1 )2 dx 56. dx x2+4 3+5x dx 4 + 1 dx +9x 58. ollowing 57 (x23) +6x2+ 12x +6 dx dy 60. 59. (x26x + 10)2 (y2+ 1)02+2) 2 dx dx 62. 61. x(x 1)2 (x+ 1)( +2x+ 2) 11 (x + 1) 9x2 +x+ 21 63. (3x2+7) 9x36x dx 99 dx 64. (3x2+1) , Explain why or why not Determine whether the following stat ments are true and give an explanation or counterexample. a. To evaluate o4xo dx, the first step is to find the partia x4 +3x2 Traction decomposition of the integrand. X
I need help with 61. I am integrating with partial fractions.
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
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