Could you please do all parts and provide written solutions , with explanations (a) Show thatI cocoth x dx = log sinh x| + c. (Hint: you may find the substitution u = sinh x to behelpful).(b) Evaluate limx →0sinhæXusing l'Hôpital's Rule or otherwise. Check your result using a calculator.1L (dæ = log (sinh 1).(c) By treating as an improper integral, show thatcoth x1X

(a) Show that helpful). (b) Evaluate lim x-0 coth x dx = log sinh x| + c. (Hint: you may find the substitution u = sinhx to be sinhæ X using l'Hôpital's Rule or otherwise. Check your result using a calculator. 1 ₁ (coth x - 1) (c) By treating as an improper integral, show that dx = = log (sinh 1).

(a) Show that helpful). (b) Evaluate lim x-0 coth x dx = log sinh x| + c. (Hint: you may find the substitution u = sinhx to be sinhæ X using l'Hôpital's Rule or otherwise. Check your result using a calculator. 1 ₁ (coth x - 1) (c) By treating as an improper integral, show that dx = = log (sinh 1).

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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