Misc
Unit Circle
Fun with Integrals
Trig Identities
Formulas
100
For L'Hospitals rule, what is the indeterminate form? (note: two possible answers)
0/0 OR ∞/∞
100
What is 180 degrees in radians?
pi
100
Evaluate the integral ∫x
1/2 x^2
100
What is the derivative of cosx?
-sinx
100
What is the product rule?
f prime * g + g prime * f (fig - gif)
200
What is u=3x^2 in terms of dx?
1/8 du = dx
200
What is 3pi/2 in degrees?
270 degrees
200
Evaluate the integral ∫(4x^3 + 9x^2 + 5x + 3)
x^4 + 3x^3 + 5/2 x^2 + 3x
200
What is the derivative of secx?
secxtanx
200
What is the point slope form (equation of a line)
y-y1=m(x-x1)
300
Evaluate the term √(2x-2) from 9 to 3
9: √2(9) - 2 = 4
3: √2(3) - 2 = 2
4 - 2 = 2
300
What is sin(pi/6)
3pi/2
300
Evaluate the integral ∫(1/(x + 2)^2 + 1)
arctan(x+2) + c
300
What is ∫sin^2x?
tanx + c
300
What is the formula for the first fundamental theorem of calculus?
F(x)=∫xaf(t)dt, F′(x)=f(x).
400
What is the equation of the slope field?
dy/dx = x - y
400
What is tan(60 degrees)?
√3
400
Rewrite the following integral to make it similar to an inverse trig identity (you do not need to solve): ∫(1/x^2 + 4x + 5)
∫(1/(x+2)^2 + 1)
400
What is the derivative of arctan(f(x))?
f'(x)/1 + f(x)^2
400
What is the formula for speed?
speed = |v(t)|
500
Evaluate the lim x -> 1 for (sin(x - 1))/(x^2 - 1)
-1/2
500
Who came up with the original idea of the Unit Circle?
Hipparchus of Nicaea
500
Wite the equation (but do not solve) to find the area of a function between y=x^2 and y=3-2x.
Area = (from 3 to -1)∫(3 - 2x - x^2) dx
500
What is the derivative of arcsec(f(x))?
f'(x)/|f(x)√f(x)^2 - 1|
500
What is the cross section formula for the volume of an equilateral triangle?
(√3/4)^2 (base length)^2