Processing math: 100%
Paul's Online Notes
Paul's Online Notes
Home / Calculus I / Integrals / Definition of the Definite Integral
Show Mobile Notice  
Mobile Notice
You appear to be on a device with a "narrow" screen width (i.e. you are probably on a mobile phone). Due to the nature of the mathematics on this site it is best viewed in landscape mode. If your device is not in landscape mode many of the equations will run off the side of your device (you should be able to scroll/swipe to see them) and some of the menu items will be cut off due to the narrow screen width.

Section 5.6 : Definition of the Definite Integral

4. Determine the value of 6119f(x)dx given that 116f(x)dx=7.

Show Solution
There really isn’t much to this problem other than use the properties from the notes of this section until we get the given interval at which point we use the given value.

6119f(x)dx=9611f(x)dxProperty 3=9116f(x)dxProperty 1=9(7)=63