Basic Antiderivatives
-sin x + C
What is the antiderivative of -cos x?
A function is decreasing over its domain. A left Reimann sum will _________ the area bounded by the function and the x and y axis.
What is overestimate?
Method used to integrate sin(2x)dx
What is u-substitution?
The funniest triangle
What is a triangle with side lengths 5,5,5?
fnInt(0,4,x2, dx)
21.333 or 64/3
2 ln x + C
What is the antiderivative of 2/x?
A function is decreasing over its domain. A right Reimann sum will _________ the area bounded by the function and the x and y axis.
What is underestimate?
Method used to integrate 1/(x^2+6x+7) dx
What is completing the square (trigonometric integration)
Why do they only serve food and no drinks at a calculus party?
fnInt(0, π, sin x, dx)
secx tanx + C
What is the antiderivative of sec x?
The area of a trapezoid with a base of 2 and corner heights of 5 and 9.
What is 14?
Method used to integrate (x-3)/(x^2-5x+3) dx
What is partial fractions?
What did the zero say to the 8?
Nice belt!
fnInt(0, 6.28, cos x, dx)
-(1/2) cos(2x) + C
What is the antiderivative of sin(2x)?
A trapezoidal sum is always ________ (better, worse, equal) to a rectangular sum
What is better?
Method used to integrate sinx e^x dx
What is integration by parts?
What do you call guys that love math?
Algebros
summation(0,5,1/x)
2.283333
cot x + C
What is the antiderivative of -csc2x?
You need to know how to calculate the trapezoidal sum error estimate for AP Calculus AB/BC
What is false?
Method used to integrate a definite integral from x = a to x = infinity
What is improper integrals?
Why is 6 afraid of 7?
Because 7 ate 9
derivative of sinx at x = 5π / 12,
exact value
(use an identity)
sqrt(6)-sqrt(2)
divided by 4
~0.258