
Calculus Calculus Math Forum 
 LinkBack  Thread Tools  Display Modes 
April 12th, 2015, 06:02 PM  #1 
Newbie Joined: Apr 2015 From: Milwaukee Posts: 1 Thanks: 0  Derivative of integral with variables as limits of integration? Fundamental theorem o
I need to find the derivative of the integral of a function as shown in the picture. But the limits of integration are variables and I don't know how to go about solving this. Please help me! Any guidance is greatly appreciated. Thank you in advance. 
April 12th, 2015, 06:39 PM  #2 
Math Team Joined: Jul 2011 From: Texas Posts: 2,820 Thanks: 1464 
let $u$ and $v$ be functions of $x$ ... $\displaystyle \frac{d}{dx} \int_u^v f(j) \, dj = f(v) \cdot v'  f(u) \cdot u'$ 

Tags 
derivative, fundamental, integral, integration, limits, theorem, variables 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Doubt with multiple integral and limits of integration  szz  Calculus  3  March 27th, 2015 01:29 PM 
Derivative of Integral With Limits  johnboy1985  Calculus  3  March 19th, 2015 05:47 AM 
Fundamental Theorem  Omnipotent  Calculus  1  November 27th, 2014 02:11 PM 
Fundamental theorem of calculus for double integral  Jhenrique  Calculus  6  April 12th, 2014 09:34 PM 
the fundamental theorem  ray  Algebra  6  April 22nd, 2012 04:50 AM 