The Magic of Calculus

61/1000, integral of sqrt(x) from 1 to 9

68/1000, midpoint rule approximation for the integral of sqrt(1+x^3) from 0 to 2

66/1000, derivative of e^(ax)*sin(bx), product rule and chain rule, calculus 1

64/1000, solving dy/dx=y, separable differential equation

Why Integration and Differentiation Undo each other? (Proof of the Fundamental theorem of calculus)

63/1000, limit of x^x as x goes to 0+, calculus 1

65/1000, vertex formula of a parabola y=ax^2+bx+c using calculus