Antiderivates
Inverse Trig
Derivatives
Know Your Limits
Volume
100

What is another form of antiderivatives?

What is an integral?

100

What is the inverse trig function if sin(x)?

What is (1)/√(1-x2) ?

100

What is the derivative of Cos(x)?

What is Sin(x)?

100

When does a limit exist?

When the left and right hand sides agree?

100

A known _______ of A(x) can be used to find the volume of a solid. Fill in the blank....

What is a cross section?

200

Evaluate the following integral: ∫4x+4

What is 2x2+4x+C?

200

Differentiate the equation: f(x) = 2cos(x)+6cos-1(x)

What is f'(x)= −2sin(x)−(6/√1−x2)

200

A line that pass through the curve at x=a with a slope of m=-1/F'(a). What is this line? 

What is a Normal Line?

200

What law is used when a limit equals ∞/∞ ?

L'Hopital's Rule

200

What are the three methods for finding the volume of a solid rotated around an axis?

What is Disk Method, Washers Method, and Shell Method?

300

What is important when taking an open integral?

What is a +C?

300

What is the inverse trig function of cot(x)?

What is -(1)/(1+x2)?

300
Find the derivative of the equation: 3x5-7x2+2

What is 15x2-14x?

300

What happens if the limit is going to infinity and the top exponent is greater than the bottom exponent? 

What is the limit does not exist?

300

Find the volume of the solid: Rotate the region bounded by y=2x2 and y=x3 about the x-axis

What is (256/35)π?

400

Evaulate the integral:∫2cos(w)−sec(w)tan(w)dw 

What is 2sin(w)−sec(w)+c ?

400

What is the inverse trig function of sec(x)?

What is (1)/√(x2(1-1/x2)? 

400

What is the standard notation of the Quotient Rule? 

What is (f(x)/g(x))'= (g(x)f'(x)-f(x)g'(x))/g(x)2

400

Name 3 rules to find limits

What is Product Rule, Power Rule, Difference Rule, Quotient Rule?

400

All cross sections to find a volume will be in circle form, the formula for a cross section is A(x)= A=πr2. What is the name of this method?

What is the Disk Method?

500
Name 4 rules of integration

What is Power rule, Sum rule, Difference Rule, Integration by Parts, Substitution, Multiplication by constants? 

500

Differentiate the equation: y=
5x6−sec-1(x)

What is 30x5−(1/|x|√(x2−1))?

500

Determine the second derivative of the equation: f(x)=sin(2x3-9x)

What is g''(x)= 12xcos(2x3-9x)-(6x2-9)2sin(2x3-9x)?

500

Answer the following limit: Limx-1(x2-x-2)/(x2-2x)

What is L=2?

500

Find the volume of the solid: Rotate the region bounded by y=2x and  y=x3 about the x-axis 

What is 126π?