(15 pts) Evaluate the following integrals. (a) cos21 (4x) sin (4x) dx = COS (-(cos(4x)^22)/22)+((cos(4x)^24)/12)-((cos(4x)^26 +C (b) 5 cos³ (8x) 8 sin (8x) dx = +C (c) L cos³ (5x) dx = 1/3 -6π (d) || cos³(x) sin¹(x)dx = +C = (e) sin(2x)dx = +C
(15 pts) Evaluate the following integrals. (a) cos21 (4x) sin (4x) dx = COS (-(cos(4x)^22)/22)+((cos(4x)^24)/12)-((cos(4x)^26 +C (b) 5 cos³ (8x) 8 sin (8x) dx = +C (c) L cos³ (5x) dx = 1/3 -6π (d) || cos³(x) sin¹(x)dx = +C = (e) sin(2x)dx = +C
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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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Transcribed Image Text:(15 pts) Evaluate the following integrals.
(a)
cos21 (4x) sin (4x) dx =
COS
(-(cos(4x)^22)/22)+((cos(4x)^24)/12)-((cos(4x)^26
+C
(b)
5
cos³ (8x)
8
sin (8x)
dx =
+C
(c)
L
cos³ (5x) dx =
1/3
-6π
(d)
|| cos³(x) sin¹(x)dx =
+C
=
(e)
sin(2x)dx =
+C
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