*A visual verification of the value of the definite integral of the square root of 1-x*

^{2}from a to 1.You can filter the list below by selecting a subject category from the drop-down list below, for example by selecting 'One-Variable Calculus'. Then click the **'APPLY'** button directly, or select a subcategory to further refine your results.

Displaying 1091 - 1100 of 1135

A Mean Value Property of the Derivative of Quadratic Polynomials-without Mean Values and Derivatives

A Mean Value Property of the Derivative of Quadratic Polynomials-without Mean Values and Derivatives

A Mean Value Property of the Derivative of Quadratic Polynomials-without Mean Values and Derivatives

*The authors use inequalities to solve optimization problems without resorting to calculus, as illustrated by four common examples in calculus.*

*The authors derive an upper bound of the expected range of random points chosen from the unit interval according to any distribution.*

*The author finds Riemann sums that equal exactly the definite integrals for polynomials and negative-integer power functions.*

*The authors model a real traffic problem by using the fundamental theorem of calculus.*