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(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

(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

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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(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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