(a) Using algebraic division and integration by substitution, or otherwise, show that - dx = e² − ln(1 + e²) + c₂ 1+ ez where c is an arbitrary constant. The following result might be useful 1 y(y - 1) = y

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 10DE
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(a) Using algebraic division and integration by substitution, or otherwise, show that
S dre - ln(1 + ²) + c₂
=
e2r
1+e™
where c is an arbitrary constant.
The following result might be useful
1
y(y - 1)
=
Y
Transcribed Image Text:(a) Using algebraic division and integration by substitution, or otherwise, show that S dre - ln(1 + ²) + c₂ = e2r 1+e™ where c is an arbitrary constant. The following result might be useful 1 y(y - 1) = Y
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