Evaluate the following trigonometric integrals: 1+cos 2 0 L, V4 – x2 dx Hint: Put x = 2 sin 0 and use cos? 0 = 2 x3 dx Hint: To get rid of the radical, put x = tan 0 and the integral Vx2+1 becomes A tan³ 0 sec 0 d e = SA (sec? 0 –1)sec 0 tane d 0. Now subtitute u = sece and integral becomes (u? – 1)du)
Evaluate the following trigonometric integrals: 1+cos 2 0 L, V4 – x2 dx Hint: Put x = 2 sin 0 and use cos? 0 = 2 x3 dx Hint: To get rid of the radical, put x = tan 0 and the integral Vx2+1 becomes A tan³ 0 sec 0 d e = SA (sec? 0 –1)sec 0 tane d 0. Now subtitute u = sece and integral becomes (u? – 1)du)
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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![Evaluate the following trigonometric integrals:
1+cos 20
L, V4 – x2 dx
Hint: Put x = 2 sin 0 and use cos? 0
%3D
2
r1 x³dx
Vx?+1
Hint: To get rid of the radical, put x = tan 0 and the integral
becomes A tan3 0 sec 0 de =
SA (sec? 0 –1)sec 0 tan0 d 0. Now subtitute u =
sece and integral becomes f'(u? – 1)du)
-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F31330aa5-a64b-4d2f-80e6-6ea74abb2a34%2F69bace19-69b3-4d15-9120-3118c67c55f0%2Fig6ltgw_processed.png&w=3840&q=75)
Transcribed Image Text:Evaluate the following trigonometric integrals:
1+cos 20
L, V4 – x2 dx
Hint: Put x = 2 sin 0 and use cos? 0
%3D
2
r1 x³dx
Vx?+1
Hint: To get rid of the radical, put x = tan 0 and the integral
becomes A tan3 0 sec 0 de =
SA (sec? 0 –1)sec 0 tan0 d 0. Now subtitute u =
sece and integral becomes f'(u? – 1)du)
-
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