Consider the function f(x)=2x on the interval [0,10]. Let P be a uniform partition of the interval with n sub-intervals. a) Express the right Riemann sum as a function of n. Right-Sum: b) Compute the limit of the right-sum you found as n approaches infinity. L= c) Compute the definite integral using the antiderivative. Make sure you show all steps and use correct notation. 0∫10 2xdx d) Draw a picture and use geometry to find the same integral as area under the graph
Consider the function f(x)=2x on the interval [0,10]. Let P be a uniform partition of the interval with n sub-intervals. a) Express the right Riemann sum as a function of n. Right-Sum: b) Compute the limit of the right-sum you found as n approaches infinity. L= c) Compute the definite integral using the antiderivative. Make sure you show all steps and use correct notation. 0∫10 2xdx d) Draw a picture and use geometry to find the same integral as area under the graph
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the function f(x)=2x on the interval [0,10]. Let P be a uniform partition of the interval with n sub-intervals.
a) Express the right Riemann sum as a function of n.
Right-Sum:
b) Compute the limit of the right-sum you found as n approaches infinity.
L=
c) Compute the definite integral using the antiderivative. Make sure you show all steps and use correct notation.
0∫10 2xdx
d) Draw a picture and use geometry to find the same integral as area under the graph
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