That was easy
Integrate ∫(4x^2+x+3)dx
What is 4/3x^3+x^2/2+3x+C
Use the Fundamental Theorem of Calculus to evaluate ∫(3+x)dx from [0,8]
What is 56
the summation formula for i
What is n(n+1)/2
Use the Fundamental Theorem of Calculus to evaluate ∫(secx)^2dx on [-pi/4,pi/4]
What is 2
Find the average value of f(x)=x^3 over the interval [0,2].
What is 2.
Given ∫f(x)dx from [0,2] =5 and ∫f(x)dx from [2,6] =8, find ∫f(x)dx from [0,6]
What is 13
Use the Fundamental Theorem of Calculus to evaluate ∫(4x^3-2x)dx on [-1,1].
What is 0
The summation formula for i2?
What is n(n+1)(2n+1)/6
Integrate ∫(2x-9 sinx )dx
What is x^2 + 9cosx+C
Find the average value of f(x)=1/sqrt(x) over the interval [4,9].
What is 2/5
Integrate ∫(5-x^2)dx on [-2,1]
What is 12
Use the Fundamental Theorem of Calculus to evaluate ∫(x√x) dx on [4,9].
What is 422/5
The summation formula for i3
What is n2(n+1)2/4
∫sin(x)dx on [0,2pi]
What is 0
∫x-2√x on [0,2] has this value of c guaranteed by the MVT for Integrals
What is 0.4380 and 1.7908
Integrate ∫(10/x2) dx
What is -10/x + C
Use the Fundamental Theorem of Calculus to evaluate ∫(3/x2)dx on [1,6]
What is 2.5
Given an acceleration of -32 ft/sec2, The position for a function with an initial velocity of 14 ft/sec and a starting height of 4 ft is given by this equation.
What is -16x2 +14x +4
Integrate ∫[tan2y+1 dy]
tany+c
Find the value of c guaranteed by the mean value theorem for integrals on f(x)=4-x2 on [-2,2]
What is + and - 2root3/3
Integrate ∫(8-2x)dx on [0,3]
What is 15
Use the Fundamental Theorem of Calculus to evaluate ∫x(x^2-6)dx on [-2,1]
What is 21/4
A ball is thrown vertically upward from a height of 6 feet with an initial velocity 64 ft/sec. How high will the ball go if the acceleration due to gravity is -32 ft/sec2?
62 ft
Integrate ∫(x+2secxtanx)dx
What is x^2/2 + 2secx+C
Find the average value of f(x)=3x2-2x on [1,4]
What is 16