My Math Forum  

Go Back   My Math Forum > College Math Forum > Calculus

Calculus Calculus Math Forum

Thanks Tree1Thanks
  • 1 Post By Country Boy
LinkBack Thread Tools Display Modes
February 22nd, 2017, 08:02 AM   #1
Joined: Sep 2014
From: Sweden

Posts: 75
Thanks: 0

Question Calculate area of grade two function using integral?

My mathematics book gave me an assignment to calculate the area using an integral there a = 0, b = 2. I succeeded to calculate the area and get to the correct answer. But when I checked which area I was calculating it wasn't inside the function. So now I wonder how to calculate the area inside the x^2 function.

But the value of a and b have to change to do that I guess. But I have no idea of how to start calculating the inside area if it is possible.

\int_{a}^{b} x^2 dx
Attached Images
File Type: jpg IMG_20170222_180017_1.jpg (90.3 KB, 2 views)

Last edited by DecoratorFawn82; February 22nd, 2017 at 08:04 AM.
DecoratorFawn82 is offline  
February 22nd, 2017, 08:09 AM   #2
Math Team
Joined: Jan 2015
From: Alabama

Posts: 2,967
Thanks: 807

There is no "area inside the graph of $\displaystyle y= x^2$" unless you have an upper boundary! If you were asked to find the area above the graph $\displaystyle y= x^2$ and below the line y = 4, from x = -1 to 1, then each vertical line, at given x, will have length $\displaystyle 4- x^2$. We can think of that as an "infinitesimally thin" rectangle with height $\displaystyle 4- x^2$ and with "dx". The area of that rectangle is $\displaystyle (4- x^2) dx$ and the entire area will be the "sum" (integral) of all those, $\displaystyle \int_{-1}^1 (4- x^2) dx$.
Thanks from DecoratorFawn82

Last edited by skipjack; February 22nd, 2017 at 10:21 AM.
Country Boy is offline  

  My Math Forum > College Math Forum > Calculus

area, calculate, function, grade, integral

Thread Tools
Display Modes

Similar Threads
Thread Thread Starter Forum Replies Last Post
Setting up integral to calculate area ihaque Calculus 2 October 12th, 2016 11:52 AM
Calculate the area D Speed Calculus 3 March 13th, 2014 10:34 PM
How to calculate surface area? carmendixon2012 Algebra 3 September 12th, 2013 11:58 PM
third grade function questioner1 Algebra 6 March 29th, 2010 02:52 AM
How do I calculate a grade I need on a final? garret1990 Algebra 1 December 8th, 2008 05:10 PM

Copyright © 2018 My Math Forum. All rights reserved.