My Math Forum  

Go Back   My Math Forum > College Math Forum > Calculus

Calculus Calculus Math Forum


Reply
 
LinkBack Thread Tools Display Modes
May 17th, 2019, 08:42 AM   #1
Member
 
Joined: Oct 2012

Posts: 76
Thanks: 0

integration

Hi
How we can get integral of f(x)=(9-x^2)^(1/2) without using trigonometric substitution. indefenite integral.
fahad nasir is offline  
 
May 17th, 2019, 08:57 AM   #2
Global Moderator
 
Joined: Dec 2006

Posts: 20,623
Thanks: 2076

The hint I gave you for the definite integral can also be applied to obtain an indefinite integral.
skipjack is online now  
May 17th, 2019, 02:37 PM   #3
Global Moderator
 
Joined: May 2007

Posts: 6,755
Thanks: 695

The graph of the function is a semicircle of radius 3 centered at (3,0). To get an indefinite integral calculate the angle between the x value on the circle and add the sector area to the triangle area (for x > 3). If x < 3, you need to subtract a triangle from the sector area.

Last edited by mathman; May 17th, 2019 at 02:42 PM.
mathman is offline  
Reply

  My Math Forum > College Math Forum > Calculus

Tags
integration



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Lebesgue integration - Riemann integration shaharhada Calculus 3 July 13th, 2018 09:01 AM
recursive integration,integration done, how to get formula Lazar Calculus 1 December 28th, 2014 12:40 PM
Integration.... jiasyuen Calculus 1 January 15th, 2014 06:19 AM
Integration of (cos^i)*(sin^j) when i and/or j is odd NAR Calculus 2 January 8th, 2014 12:34 PM
integration jefferson_lc Real Analysis 1 February 13th, 2011 06:27 PM





Copyright © 2019 My Math Forum. All rights reserved.