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First Theorem
Second Theorem
Derivatives
Integrals
Mathematicians
100
ʃ6x dx [0,2]
What is 12
100
d/dx ʃ2t dt [0,x]
What is 2x
100
f(x)=7
What is 0
100
ʃ3x dx
What is (3/2)x^2 +C
100
Ancient Greek mathematician. He helped develop calculus.
Who is Archimedes
200
ʃ(2x-1)dx [-1,0]
What is -2
200
d/dx ʃ(2t-5)dt [0,x]
What is 2x-5
200
f(x)=-7x
What is -7
200
ʃ2sin(x)dx
What is -2cos(x)+C
200
This Greek mathematician's theorem is still used to find the measurements of right triangles.
Who is Pythagoras
300
ʃ(1+sinx)dx [0,pi]
What is 2+pi
300
d/dx ʃsin(t)+(t^2)dt [2,x]
What is sin(x)+(x^2)
300
f(x)=(x^2)+x-3
What is 2x+1
300
ʃdx
What is x+C
300
This man is credited with introducing standard notation.
Who is Wilhelm Liebniz
400
ʃ l2x-5ldx [0,5]
What is 25/2
400
F'(x)=d/dx ʃcos(t)dt [x^2,pi/2]
What is 2xcos(x^2)
400
f(x)=(x^3)-12x
What is (3x^2)-12
400
ʃ(x+1)(3x-2)dx
What is (x^3)+(0.5x^2)-2x+C
400
This mathematician's theorem is used to geometrically approximate the area under a curve.
Who is Bernhard Riemann
500
ʃ4x dx [4,9]
What is 130
500
d/dx ʃ2t dt [0,2]
What is 2x
500
f(x)=pi
What is 0
500
ʃ(5cos(x) +4sin(x))dx
What is 5sin(x)-4cos(x)+C
500
He studied under Isaac Barrow
Who is Isaac Newton