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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 from [0,8]

What is 56

100

Integrate ∫[x^2/(x^3+3)]dx

What is 1/3 ln(x^3+3)+C

100

Use the Fundamental Theorem of Calculus to evaluate ∫(secx)^2dx on [-pi/4,pi/4]


Hint: d/dx(tanx) = (secx)^2

What is 2

100

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


Hint: Find the definite value and then divide by the bounds.

What is 2.

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].


Hint: Find the definite value and then divide by the bounds.

What is 2/5

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)cosx]dx

What is (-1/2)(cosx)^2+C

300

 ∫sin(2x)dx 

What is 1/2cos(2x) + C

300

Integrate ∫xdx

What is (1/2)x^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 ∫[-3x(x^2-1)^4]dx

What is (3/10)(x^2-1)^5+C

400
Integrate ∫1/(3+25x^2)dx
What is (1/5sqrt(3))arctan (5x/sqrt(3)) + C
400

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 ∫[(4x)[(x^2+1)^5]]dx from [0,1]

What is 21?

500
Integrate∫x/(sqrt(1-x^4))
What is (1/2)arcsin(x^2)+C
500

Integrate ∫(5-x^2)dx on [-2,1]

What is 12