1-6 Evaluate the integral by making the given substitution. 1. fcos 2x dx. u-2x 2. fx(2x²+3) dx, u= 2x² + 3 3. fx²√x³ + 1dx, u=x² +1 4. f sin³0 cose de, usin 5. S √(x² =²57² d dx, u-x-5

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1-6 Evaluate the integral by making the given substitution.
1. f cos 2x dx, u = 2x
2. fx(2x² + 3)¹ dx,
u = 2x² + 3
3. fx²√x³ + 1dx,
4. sin¹0 cose de, usin
5. S (x² - 5)² d
6. √21 + 1 dt, u=2r + 1
u = x³ +1
-dx, u=x²-5
dx,
Transcribed Image Text:1-6 Evaluate the integral by making the given substitution. 1. f cos 2x dx, u = 2x 2. fx(2x² + 3)¹ dx, u = 2x² + 3 3. fx²√x³ + 1dx, 4. sin¹0 cose de, usin 5. S (x² - 5)² d 6. √21 + 1 dt, u=2r + 1 u = x³ +1 -dx, u=x²-5 dx,
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