Purchase Solution

# Integrals : Riemann Sum with Diagrams

Not what you're looking for?

This question has me going around in circles. I can't make the Sigma symbol on the computer, so I used the word "Sigma" instead. For (c), n is above the Sigma symbol and i=1 is below it.

(a)Find an approximation to the integral as 0 goes to 4 of (x^2-3x)dx using a Riemann sum with right endpoints and n=8.
(b)Draw a diagram to illustrate the approximation in part (a).
(c)Use this equation (the integral as a goes to b of f(x)dx=the limit as n goes to infinity of Sigma f(xi) delta x) to evaulate the integral as 0 goes to 4 of ((x^2)-3x)dx.
(d)Interpret the integral in part (c) as a difference of areas and illustrate it.

##### Solution Summary

Riemann sums are explained. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.

##### Solution Preview

Ok First draw this function from x = 0 to x = 4 I get f(x) values 0,-2,-2,0, and 4.

now divide the x axis into 8 equal sections for 0 to 4 The area of interest is between. The x axis and the curve. The area under the x axis is a negative area and the area above the x- axis ...

##### Free BrainMass Quizzes

This quiz test you on how well you are familiar with solving quadratic inequalities.

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

##### Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.