Integration
∫₋₁² 5 dx
15
sin2(2x)+cos2(2x)=
1
He discovered the series 1,1,2,3,5,8,13,21…
Fibonacci
∫₀𝜋/2 cos(4x) dx
0
cos(sin-1(½))=
(√3)/2
He was the first to use a coordinate system for graphs.
René Descartes
The name of the method used to integrate
∫ 4x √(x-5) dx
u-substitution
(½ + 5/4)/(⅚)
19/10
The symbol for 2.7182818284590455… was named after this man.
Euler
∫ (cos x/(sin2(x+1))) dx
tan-1(sin(x)) + C
All edges of a cube are expanding at a rate of 6 centimeters per second. How fast is the volume changing when each edge is 2 centimeters?
72 meters per second
He has a triangle full of numbers
Blaise Pascal
∫ (cos4x/sin4x) dx
¼ ln|sin4x| + C
Daily Double!
Euler’s identity contains the five most important numbers in mathematics. Finish the idendtity.
ei𝝿+1=
These two men were both reported to have discovered Calculus
Newton and Leibniz
Category: Derivatives
Which, if any, of the following statements are true?
1. If f’(x) = g’(x), then f(x) = g(x).
2. If y = 𝜋2, then dy/dx = 2𝜋.
3. If g(x) = 3 f(x), then g’(x) = 3 f’(x).
3. If g(x) = 3 f(x), then g’(x) = 3 f’(x).