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You can create printable tests and worksheets from these Grade 12 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.

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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 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. $intcot(3x^4+5)12x^3 \ dx$
1. $ln|sin3x^4|+C$
2. $ln|sin(3x^4+5)|+C$
3. $ln|sin12x^3|+C$
4. $ln|sin(12x^3+5)|+C$
Find the indefinite integral. $int(5)/(cos5x) \ dx$
1. $ln|sec5x+tan5x|+C$
2. $ln|csc5x+cot5x|+C$
3. $ln|tan5x|+C$
4. $ln|sec5x|+C$
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. $int(4x)/(2x^2-1) \ dx$
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. $inttan(8x)8 \ dx$
1. $-8ln|cos8x|+C$
2. $ln|sec8x|+C$
3. $1/8ln|cos8x|+C$
4. $-ln|cos8x|+C$
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. $int3x^3+2x^2 dx = (4x^3)/3+(3x^2)/2+C$