Looking for Math worksheets?
Check out our pre-made Math worksheets!
 Tweet

# Integrals Questions - All Grades

You can create printable tests and worksheets from these Integrals questions! Select one or more questions using the checkboxes above each question. Then click the add selected questions to a test button before moving to another page.

Previous Next
College Integrals
Find the following indefinite integral.
$int(8x^8 -6) dx$
1. $8/9x^9+C$
2. $64x^7+C$
3. $8/9x^9-6x+C$
4. $8/9x^9-6+C$
Find the value of the integral $int_0^1e^x/(e^x+1)dx$.
1. $ln((e+1)/2)$
2. $(e-1)/2$
3. $ln(e-1)$
4. $e+1$
Find the value of the integral $int_1^2(x^2+1)/xdx$.
1. $1/2ln2$
2. $1+ln2$
3. $3/2+ln2$
4. $3/2-ln2$
Find the value of the integral $int_1^e1/xdx$.
1. $-1$
2. $e$
3. $1/2$
4. $1$
Find the value of $int_0^(ln2)3e^(4x)dx$.
1. $41/4$
2. $45/4$
3. $43/4$
4. $21/2$
Find the value of the integral $int_(-e^2)^(-e)3/xdx$.
1. $-3$
2. $-e$
3. $e^3$
4. $1/3$
College Integrals
Find the following indefinite integral.
$int(-3/x+2x^(-1/4) - 8e^x) dx$
1. $-ln(|x|) -8/3x^(3/4)-8e^x +C$
2. $-1/3ln(|x|) + 8/3x^(3/4) - 8e^x+C$
3. $-3 ln(|x|) + 8/3x^(3/4)-8e^x +C$
4. $-3 ln(|x|) + 8/3x^(3/4) - 8/xe^x+C$
College Integrals
Find the following indefinite integral:
$int(-7x^2+ 4/x- 5/x^4) dx$
1. $-7x^3 + 4 ln(|x|) -5x^-3 +C$
2. $1/3x^3 + 4ln (|x|) + 5/3 x^-3 +C$
3. $-7/3x^3 + 4ln(|x|) + 5/3x^-3 +C$
4. $-14x - 4x^-2 + 20x^-5 +C$
College Integrals
$int(8x^8 -6) dx$
1. $8/9x^9+C$
2. $64x^7+c$
3. $8/9x^9-6x+C$
4. $8/9x^9-6+C$
Find the indefinite integral. $intcsc(x^2-2)cot(x^2-2)x \ dx$
1. $1/2tan( x^2-2)+C$
2. $cot(x^2-2)+C$
3. $-1/2csc( x^2-2)+C$
4. $-sec( x^2-2)+C$
Find the indefinite integral. $intcos^4(x)sin(x) \ dx$
1. $cos^5(x)+C$
2. $-1/5sin^5(x)+C$
3. $sin^5(x)+C$
4. $-1/5cos^5(x)+C$
5. $-5cos^5(x)+C$
What is the indefinite integral of $f(x)=3x^3+2x^2$?
1. $int3x^3+2x^2 dx = (3x^4)/4+(2x^3)/3+C$
2. $int3x^3+2x^2 dx = 9x^2+4x+C$
3. $int3x^3+2x^2 dx = 3x^3+2x^2+C$
4. $int3x^3+2x^2 dx = (4x^3)/3+(3x^2)/2+C$
Find the indefinite integral. $int(5)/(cos5x) \ dx$
1. $ln|sec5x+tan5x|+C$
2. $ln|csc5x+cot5x|+C$
3. $ln|tan5x|+C$
4. $ln|sec5x|+C$
What is the area under the curve for the function $f(x)=3x^3+2x^2$ on the closed interval $[-5,5]$?
1. $int_-5^5(3x^3+2x^2)dx=500/3$
2. $int_-5^5(3x^3+2x^2)dx=3/500$
3. $int_-5^5(3x^3+2x^2)dx=3$
4. $int_-5^5(3x^3+2x^2)dx=500$
Find the indefinite integral. $inttan(8x)8 \ dx$
1. $-8ln|cos8x|+C$
2. $ln|sec8x|+C$
3. $1/8ln|cos8x|+C$
4. $-ln|cos8x|+C$
Find the indefinite integral. $int(4x)/(2x^2-1) \ dx$
1. $(2x^2-1)^2+C$
2. $ln 2x^2+C$
3. $ln |2x^2-1|+C$
4. $2/(2x^2-1)^2 +C$
Find the indefinite integral. $intcot(3x^4+5)12x^3 \ dx$
1. $ln|sin3x^4|+C$
2. $ln|sin(3x^4+5)|+C$
3. $ln|sin12x^3|+C$
4. $ln|sin(12x^3+5)|+C$