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Limits
Intergrals
Derivatives
Anti-Derivatives
Pre-Calculus
100
What is the limit as x approaches a number if the function oscillates around the number.
What is undefined
100
∫x sin x dx
What is -xcosx + sinx +C
100
Name the three ways that a function can fail to be differentiable
What is A. A corner, B. A discontinuity, C. A vertical tangent
100
∫ 15x^4 dx
What is 3x^5+C
100
Evaluate: csc(pi/6)
What is 2
200
True/False: If f(a) is undefined, then the limit as x approaches a will also be undefined.
What is False
200
Intergrate: ∫lnx dx
What is x ln x - x + C
200
Evaluate: d/dx(cot(x))
What is -csc^2(x)
200
∫sin(5x)dx
What is cos(5x)/5+C
200
Evaluate: log(-10)
What is undefined
300
Lim x -> Pi Tan x
What is 0
300
∫(8x^3-9x^2+4) dx
What is 2x^4-3x^3+4x+c
300
y= (2x^2 +5) ^7
What is y'=28x(2x^2 +5)^6
300
∫ -3x^2 dx
What is -x^3 +c
300
Express cotangent in two different forms
What is 1/tan(x) and cos(x)/sin(x)
400
lim x→−3 x^2-x-12/x+3
What is -7
400
Integrate: ∫x( √x+3) dx
What is (2/3)x(x+3)^3/2-(4/15)(x+3)^5/2+C
400
Find the derivative of the function: f(x)= 7 ^ 1/x
What is f(x)= -ln7*7^1/x / x^2
400
∫ cotx (sinx) dx
What is Sinx+C
400
What is the exact value of Tan 75°
What is 2+√3
500
lim cos [3pi/2 + x]- cos[3pi/2] / x->0 x
What is 1
500
Integrate: ∫ x sin x cos x dx
What is (1/2)xsin^2x-(1/4)x +(1/8)sn 2x +C
500
d/d(x) is called what?
What is Leibniz Notation
500
∫ (7t+8)^3 dt
What is ((7t+8)^4)/4