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# Integrals Questions - All Grades

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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. $8/9x^9-6+C$
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. $-3 ln(|x|) + 8/3x^(3/4) - 8/xe^x+C$
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 $int_1^e1/xdx$.
1. $-1$
2. $e$
3. $1/2$
4. $1$
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 $int_0^(ln2)3e^(4x)dx$.
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:
$int(-7x^2+ 4/x- 5/x^4) dx$
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. $int 3x^2 dx$
1. $6x + C$
2. $x^3 + C$
3. $1/2 x + C$
4. $2/3 x^3 + C$
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. $intcsc(x^2-2)cot(x^2-2)x \ dx$
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 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. $int(5)/(cos5x) \ dx$
1. $ln|sec5x+tan5x|+C$
2. $ln|csc5x+cot5x|+C$
3. $ln|tan5x|+C$
4. $ln|sec5x|+C$
Find the indefinite integral. $inttan(8x)8 \ dx$
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. $2/(2x^2-1)^2 +C$