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Twelfth Grade (Grade 12) Integrals Questions

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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
Grade 12 Integrals
Find the value of ∫ln203e4xdx.
  1. 414
  2. 454
  3. 434
  4. 212
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
Grade 12 Integrals
Find the indefinite integral. ∫4x2x2-1 dx
  1. (2x2-1)2+C
  2. ln2x2+C
  3. ln|2x2-1|+C
  4. 2(2x2-1)2+C
Grade 12 Integrals
Find the indefinite integral. ∫cot(3x4+5)12x3 dx
  1. ln|sin3x4|+C
  2. ln|sin(3x4+5)|+C
  3. ln|sin12x3|+C
  4. ln|sin(12x3+5)|+C
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