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100
Integrate ∫(4x^2+x+3)dx
What is 4/3x^3+x^2/2+3x+C
100
Use the Fundamental Theorem of Calculus to evaluate ∫(3+x)dx on [0,8]
What is 56
100
Integrate ∫[x^2/(sqrt(x^3+3))]dx
What is 2/3 sqrt(x^3+3)+C
100
Use the Fundamental Theorem of Calculus to evaluate ∫(secx)^2dx on [-pi/4,pi/4]
What is 2
100

Find the average value of f(x)=x^3 over the interval [0,2].

What is 4.

200
Integrate ∫(2x-9 sin⁡x )dx
What is x^2 + 9cosx+C
200
Use the Fundamental Theorem of Calculus to evaluate ∫(4x^3-2x)dx on [-1,1].
What is 0
200
Integrate ∫[x(1-3x^2)^4]dx
What is (-1/30)(1-3x^2)^5 +C
200
Use the Fundamental Theorem of Calculus to evaluate ∫cos(x/2)dx on [0,pi]
What is 2
200

Find the average value of f(x)=1/sqrt(x) over the interval [4,9].

What is 1/30 or 0.0333

300
Integrate ∫(t+e^t )dt
What is t^2/2+e^t+C
300
Use the Fundamental Theorem of Calculus to evaluate ∫(x√x) dx on [4,9].
What is 422/5
300
Integrate ∫[(sinx)^3cosx]dx
What is (1/4)(sinx)^4+C
300
Use the Fundamental Theorem of Calculus to evaluate ∫sin(2x)`dx on [-pi/4,pi/4]
What is 0
300

Integrate ∫xsqrt(x+5)dx

What is (2/5)(x+5)^(5/2)-(10/3)(x+5)^(3/2)+C

400
Integrate ∫(10/x) dx
What is 10ln|x| + C
400
Use the Fundamental Theorem of Calculus to evaluate ∫(3/x)dx on [1,6]
What is 3ln(6)
400
Integrate ∫[xe^(-3x^2)]dx
What is (-1/6)e^(-3x^2)+C
400
Integrate ∫1/(3+25x^2)dx
What is (1/5sqrt(3))arctan (5x/sqrt(3)) + C
400
Using the limit definition, integrate ∫(8-2x)dx on [0,3]
What is 15
500
Integrate ∫[6(5^x) dx]
What is 6(5^x)/ln(5) + C
500
Use the Fundamental Theorem of Calculus to evaluate ∫x(x^2-6)dx on [-2,1]
What is 21/4
500
Integrate ∫[(x+1)5^[(x+1)^2]]dx
What is (1/2ln5)(5^[(x+1)^2])+C
500
Integrate∫x/(sqrt(1-x^4))
What is (1/2)arcsin(x^2)+C
500
Using the limit definition, integrate ∫(5-x^2)dx on [-2,1]
What is 12