Find the area of the region under the graph of the function f on the interval [4, 8].
f(x) = 10/x^2

If you could show the steps and the answer, I would really appreciate it!

General Formulas and Concepts:

Calculus

Integration

Integrals

Integration Rule [Reverse Power Rule]:                                                              

Integration Rule [Fundamental Theorem of Calculus 1]:                                    

Integration Property [Multiplied Constant]:                                                        

Area of a Region Formula:                                                                                    

Step-by-step explanation:

Step 1: Define

Identify

Step 2: Find Area

Substitute in variables [Area of a Region Formula]:                                   [Integral] Rewrite [Integration Property - Multiplied Constant]:                 [Integral] Integrate [Integration Rule - Reverse Power Rule]:                     Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]:           Simplify:                                                                                                        

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

The major difference is that a histogram is only used to plot the frequency of score occurrences in a continuous data set that has been divided into classes, called bins.  bar charts, on the other hand, can be used for a great deal of other types ofvariables  including  ordinal  andnominal  data sets.

Do you need with the x value for the minimum? its always between the two intercepts for a parabola