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Integrals Questions - All Grades

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College Integrals
Find the following indefinite integral.
[math]int(8x^8 -6) dx[/math]
  1. [math]8/9x^9+C[/math]
  2. [math]64x^7+C[/math]
  3. [math]8/9x^9-6x+C[/math]
  4. [math]8/9x^9-6+C[/math]
College Integrals
Find the following indefinite integral.
[math]int(-3/x+2x^(-1/4) - 8e^x) dx[/math]
  1. [math]-ln(|x|) -8/3x^(3/4)-8e^x +C[/math]
  2. [math]-1/3ln(|x|) + 8/3x^(3/4) - 8e^x+C[/math]
  3. [math]-3 ln(|x|) + 8/3x^(3/4)-8e^x +C[/math]
  4. [math]-3 ln(|x|) + 8/3x^(3/4) - 8/xe^x+C[/math]
Grade 12 Integrals
Find the value of the integral [math]int_0^1e^x/(e^x+1)dx[/math].
  1. [math]ln((e+1)/2) [/math]
  2. [math](e-1)/2 [/math]
  3. [math]ln(e-1) [/math]
  4. [math]e+1 [/math]
Grade 12 Integrals
Find the value of the integral [math]int_1^e1/xdx[/math].
  1. [math]-1[/math]
  2. [math]e[/math]
  3. [math]1/2[/math]
  4. [math]1[/math]
Grade 12 Integrals
Find the value of the integral [math]int_1^2(x^2+1)/xdx[/math].
  1. [math]1/2ln2[/math]
  2. [math]1+ln2[/math]
  3. [math]3/2+ln2[/math]
  4. [math]3/2-ln2[/math]
Grade 12 Integrals
Find the value of [math]int_0^(ln2)3e^(4x)dx[/math].
  1. [math]41/4 [/math]
  2. [math]45/4 [/math]
  3. [math]43/4 [/math]
  4. [math]21/2 [/math]
Grade 12 Integrals
Find the value of the integral [math]int_(-e^2)^(-e)3/xdx[/math].
  1. [math]-3[/math]
  2. [math]-e[/math]
  3. [math]e^3[/math]
  4. [math]1/3[/math]
College Integrals
Find the following indefinite integral:
[math]int(-7x^2+ 4/x- 5/x^4) dx[/math]
  1. [math]-7x^3 + 4 ln(|x|) -5x^-3 +C[/math]
  2. [math]1/3x^3 + 4ln (|x|) + 5/3 x^-3 +C[/math]
  3. [math]-7/3x^3 + 4ln(|x|) + 5/3x^-3 +C[/math]
  4. [math]-14x - 4x^-2 + 20x^-5 +C[/math]
College Integrals
[math]int(8x^8 -6) dx[/math]
  1. [math]8/9x^9+C[/math]
  2. [math]64x^7+c[/math]
  3. [math]8/9x^9-6x+C[/math]
  4. [math]8/9x^9-6+C[/math]
Grade 12 Integrals
Find the indefinite integral. [math]int 3x^2 dx[/math]
  1. [math]6x + C[/math]
  2. [math]x^3 + C[/math]
  3. [math]1/2 x + C[/math]
  4. [math]2/3 x^3 + C[/math]
Grade 12 Integrals
What is the indefinite integral of [math]f(x)=3x^3+2x^2[/math]?
  1. [math]int3x^3+2x^2 dx = (3x^4)/4+(2x^3)/3+C[/math]
  2. [math]int3x^3+2x^2 dx = 9x^2+4x+C[/math]
  3. [math]int3x^3+2x^2 dx = 3x^3+2x^2+C[/math]
  4. [math]int3x^3+2x^2 dx = (4x^3)/3+(3x^2)/2+C[/math]
Grade 12 Integrals
Find the indefinite integral. [math]intcsc(x^2-2)cot(x^2-2)x \ dx[/math]
  1. [math]1/2tan( x^2-2)+C[/math]
  2. [math] cot(x^2-2)+C[/math]
  3. [math]-1/2csc( x^2-2)+C[/math]
  4. [math]-sec( x^2-2)+C[/math]
Grade 12 Integrals
Find the indefinite integral. [math]intcos^4(x)sin(x) \ dx[/math]
  1. [math]cos^5(x)+C[/math]
  2. [math]-1/5sin^5(x)+C[/math]
  3. [math]sin^5(x)+C[/math]
  4. [math]-1/5cos^5(x)+C[/math]
  5. [math]-5cos^5(x)+C[/math]
Grade 12 Integrals
What is the area under the curve for the function [math]f(x)=3x^3+2x^2[/math] on the closed interval [math][-5,5][/math]?
  1. [math]int_-5^5(3x^3+2x^2)dx=500/3[/math]
  2. [math]int_-5^5(3x^3+2x^2)dx=3/500[/math]
  3. [math]int_-5^5(3x^3+2x^2)dx=3[/math]
  4. [math]int_-5^5(3x^3+2x^2)dx=500[/math]
Grade 12 Integrals
Find the indefinite integral. [math]int(5)/(cos5x) \ dx[/math]
  1. [math]ln|sec5x+tan5x|+C[/math]
  2. [math]ln|csc5x+cot5x|+C[/math]
  3. [math]ln|tan5x|+C[/math]
  4. [math]ln|sec5x|+C[/math]
Grade 12 Integrals
Find the indefinite integral. [math]inttan(8x)8 \ dx [/math]
  1. [math]-8ln|cos8x|+C[/math]
  2. [math]ln|sec8x|+C[/math]
  3. [math]1/8ln|cos8x|+C[/math]
  4. [math]-ln|cos8x|+C[/math]
Grade 12 Integrals
Find the indefinite integral. [math]int(4x)/(2x^2-1) \ dx[/math]
  1. [math](2x^2-1)^2+C[/math]
  2. [math]ln 2x^2+C[/math]
  3. [math]ln |2x^2-1|+C[/math]
  4. [math]2/(2x^2-1)^2 +C[/math]
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