For f(x)=1/(x+1) find
Find the areas of the rectangles:
Rewrite as a definite integral. Do not evaluate.
Represent the area bounded by the regions as a definite integral and evaluate.
Your velocity along a straight line is shown below
Use Leibniz rule to find:
Sketch the graph of the two functions and find the area between them.© BrainMass Inc. brainmass.com October 10, 2019, 8:16 am ad1c9bdddf
Please find detailed solution attached herewith.
I hope it will help you. I will be happy to assist you in future.
1. Let B(x) represent the area bounded by the graph and the horizontal axis and vertical lines at t=0 and t=x for the graph shown below. Evaluate B(x) for x = 1 and 5.
B(1) = 1/2 +1 = 3/2
B(5) = 1/2+ 1 + 1 + 1 + 1/2 +1/2 + 1 + 1/2 = ...
This posting explains how to find derivative of a integral using Leibniz rule and also explains how to find area between two curves.