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# Twelfth Grade (Grade 12) Integrals Questions

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Grade 12 Integrals
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. $-5cos^5(x)+C$
Grade 12 Integrals
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. $int_-5^5(3x^3+2x^2)dx=500$
Grade 12 Integrals
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. $ln|sin(12x^3+5)|+C$
Grade 12 Integrals
Find the indefinite integral. $int(5)/(cos5x) \ dx$
1. $ln|sec5x+tan5x|+C$
2. $ln|csc5x+cot5x|+C$
3. $ln|tan5x|+C$
4. $ln|sec5x|+C$
Grade 12 Integrals
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. $-sec( x^2-2)+C$
Grade 12 Integrals
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. $2/(2x^2-1)^2 +C$
Grade 12 Integrals
Find the indefinite integral. $inttan(8x)8 \ dx$
1. $-8ln|cos8x|+C$
2. $ln|sec8x|+C$
3. $1/8ln|cos8x|+C$
4. $-ln|cos8x|+C$
Grade 12 Integrals
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. $int3x^3+2x^2 dx = (4x^3)/3+(3x^2)/2+C$
Grade 12 Integrals
Grade 12 Integrals
Grade 12 Integrals
Grade 12 Integrals
Grade 12 Integrals
Grade 12 Integrals
Grade 12 Integrals
Grade 12 Integrals
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