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Integrals Questions - All Grades

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College Integrals
Find the following indefinite integral.
∫(8x8-6)dx
  1. 89x9+C
  2. 64x7+C
  3. 89x9-6x+C
  4. 89x9-6+C
College Integrals
Find the following indefinite integral.
∫(-3x+2x-14-8ex)dx
  1. -ln(|x|)-83x34-8ex+C
  2. -13ln(|x|)+83x34-8ex+C
  3. -3ln(|x|)+83x34-8ex+C
  4. -3ln(|x|)+83x34-8xex+C
Grade 12 Integrals
Find the value of the integral ∫10exex+1dx.
  1. ln(e+12)
  2. e-12
  3. ln(e-1)
  4. e+1
Grade 12 Integrals
Find the value of the integral ∫21x2+1xdx.
  1. 12ln2
  2. 1+ln2
  3. 32+ln2
  4. 32-ln2
College Integrals
Find the following indefinite integral:
∫(-7x2+4x-5x4)dx
  1. -7x3+4ln(|x|)-5x-3+C
  2. 13x3+4ln(|x|)+53x-3+C
  3. -73x3+4ln(|x|)+53x-3+C
  4. -14x-4x-2+20x-5+C
Grade 12 Integrals
Find the value of ∫ln203e4xdx.
  1. 414
  2. 454
  3. 434
  4. 212
College Integrals
∫(8x8-6)dx
  1. 89x9+C
  2. 64x7+c
  3. 89x9-6x+C
  4. 89x9-6+C
Grade 12 Integrals
What is the indefinite integral of f(x)=3x3+2x2?
  1. ∫3x3+2x2dx=3x44+2x33+C
  2. ∫3x3+2x2dx=9x2+4x+C
  3. ∫3x3+2x2dx=3x3+2x2+C
  4. ∫3x3+2x2dx=4x33+3x22+C
Grade 12 Integrals
Find the indefinite integral. ∫csc(x2-2)cot(x2-2)x dx
  1. 12tan(x2-2)+C
  2. cot(x2-2)+C
  3. -12csc(x2-2)+C
  4. -sec(x2-2)+C
Grade 12 Integrals
Find the indefinite integral. ∫3x2dx
  1. 6x+C
  2. x3+C
  3. 12x+C
  4. 23x3+C
Grade 12 Integrals
Find the indefinite integral. ∫cos4(x)sin(x) dx
  1. cos5(x)+C
  2. -15sin5(x)+C
  3. sin5(x)+C
  4. -15cos5(x)+C
  5. -5cos5(x)+C
Grade 12 Integrals
What is the area under the curve for the function f(x)=3x3+2x2 on the closed interval [-5,5]?
  1. ∫5-5(3x3+2x2)dx=5003
  2. ∫5-5(3x3+2x2)dx=3500
  3. ∫5-5(3x3+2x2)dx=3
  4. ∫5-5(3x3+2x2)dx=500
Grade 12 Integrals
Find the indefinite integral. ∫5cos5x dx
  1. ln|sec5x+tan5x|+C
  2. ln|csc5x+cot5x|+C
  3. ln|tan5x|+C
  4. ln|sec5x|+C
Grade 12 Integrals
Find the indefinite integral. ∫tan(8x)8 dx
  1. -8ln|cos8x|+C
  2. ln|sec8x|+C
  3. 18ln|cos8x|+C
  4. -ln|cos8x|+C
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