(i) Use the chain rule to show that -3x = (In 3)32 dx Hint: use the fact that 3 = eln 3ª (ii) Use integration by substitution to find the integral [3 3 cosh 3 dr Use integration by substitution and then a trigonometric identity to find the integral [22 2x sin²(x²) dr

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 70E
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Question
(i) Use the chain rule to show that
d
-3x
= (In 3)3ª
dx
Hint: use the fact that 3* = eln 3ª
-
(ii) Use integration by substitution to find the integral
[3²
3 cosh 3 dx
Use integration by substitution and then a trigonometric identity to
find the integral
[2a sin²(x²) dr
2x
-
Transcribed Image Text:(i) Use the chain rule to show that d -3x = (In 3)3ª dx Hint: use the fact that 3* = eln 3ª - (ii) Use integration by substitution to find the integral [3² 3 cosh 3 dx Use integration by substitution and then a trigonometric identity to find the integral [2a sin²(x²) dr 2x -
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