Riemann sums - Study guides, Class notes & Summaries

These notes are in a pdf format. - colour coded - step-by-step examples for each topic The notes cover the topic: Antiderivatives, Mathematical Induction, Binomial theorem, Definite integral & Riemann sums

This document contains detailed in-depth notes about Riemann Sums (calculus) for grade 12 mathematics. The following topics are dealt with: 1.1 Simple Definition of Riemann Sums 1.2 Important Representations 1.3 Important Series Notes 1.4 Steps for Riemann Sums 1.5 Example 1 and Example 2 1.6 Additional Important Notes

AP Calculus AB Concepts Critical Points - Answer>>where f'(x)=0 or f'(x) is undefined Splitting the Fraction - Answer>>a+b+c/d = a/d + b/d + c/d Riemann Sums - Answer>>MRAM, RRAM, LRAM Displacement (change in position) - Answer>>The integral from a to b of v(t) dt Total distance traveled - Answer>>The integral from a to b of | v(t) | dt

This document consists of detailed notes, exercises and examples on Integration including topics such as Riemann sums, integration rules, trigonometric integration, exponential and logarithmic integration, partial fractions, u-substitution and application examples.

evaluate the integral 2/1, ln(x)/x dx - answer-(ln2)^2/2 consider the function f(x)=x^4-4x^3. which of the following is NOT true - answer-f has a local extrema at x=0 and x=3 find the work done by a force F=sqroot 2x+1 N to move an object along a straight path from a distance of 0 meters to a distance of 4 meters - answer-26/3 J an object is moving along the x-axis. Let s(t), v(t) and a(t) be functions giving the position, the velocity, and the acceleration of the object at time t. whic...

Defines Riemann sums, summations, and definite integrals with examples and diagrams

Detailed notes and examples on Differentiation and Integration -Average gradient -Derivative -Calculating the derivative using first principles -The short method of differentiation -Rules of differentiation -Testing differentiability -Antidifferentiation of Basic Algebraic Expressions (Indefinite Integration) -The definite integral and area under a curve -Using the definite integral to find the area of more complex problems -Riemann Sums -Sigma notation -The Definite Integral using R...

Calculus Notes-Questions and Answers Graded A+ tangent line approximation - ANSWER-y=f'(a)(x-a)+f(a) overestimate if f is concave down, underestimate if f is concave up f''(c) is positive - ANSWER-relative max f''(c) is negative - ANSWER-relative min f''(c)=0 - ANSWER-second derivative test fails; use first derivative test f''(x) is positive - ANSWER-concave up f'(x) increases f''(x) is negative - ANSWER-concave down f'(x) decreases directly proportional - AN...

Introduction to Riemann Sums--method of finding area under a curve.

properties of definite integrals, Riemann sums, fundamental theorem of calculus, indefinite integrals, net change theorem