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3. Consider a function f(x) = based on this function: (a) (b) (c) 1 x(lnx)²¹ which is continuous on the interval [e, e +1]. Now answer the questions below Calculate the exact integrated value of the given function. Find the numerical integration for m=4 using the Composite Newton-cotes formula. Calculate the error in percentage from the above two parts.

3. Consider a function f(x) = based on this function: (a) (b) (c) 1 x(lnx)²¹ which is continuous on the interval [e, e +1]. Now answer the questions below Calculate the exact integrated value of the given function. Find the numerical integration for m=4 using the Composite Newton-cotes formula. Calculate the error in percentage from the above two parts.

Advanced Engineering Mathematics
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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3. Consider a function f(x) = based on this function: (a). (b) (c) 1 x(lnx)²¹ which is continuous on the interval [e, e +1]. Now answer the questions below Calculate the exact integrated value of the given function. Find the numerical integration for m-4 using the Composite Newton-cotes formula. Calculate the error in percentage from the above two parts.
Transcribed Image Text:3. Consider a function f(x) = based on this function: (a). (b) (c) 1 x(lnx)²¹ which is continuous on the interval [e, e +1]. Now answer the questions below Calculate the exact integrated value of the given function. Find the numerical integration for m-4 using the Composite Newton-cotes formula. Calculate the error in percentage from the above two parts.
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