Q2. Evaluate the integrals below by first using trigonometric identities to simplify the in- tegrands. You must show your work in simplifying and evaluating each integral. Give your answers as fractions or in terms of T, where appropriate. (iv) / cos? r dx 1+ sin x sin? x dx

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.1: Verifying Trigonometric Identities
Problem 70E
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(v) /
Q2. Evaluate the integrals below by first using trigonometric identities to simplify the in-
tegrands. You must show your work in simplifying and evaluating each integral. Give your
answers as fractions or in terms of T, where appropriate.
cos²
(iv) /
COS“ X
(i)
sin? x dx
dx
1+ sin x
T
r3™
(i) /
2
sec² (x) dx
(v) / cos²(2x) d
0.
cos² (x + 1) – sin (x+ 1) dx
3
(ii)
(vi)
sin x cos 2 dx
7T-4
4
Transcribed Image Text:(v) / Q2. Evaluate the integrals below by first using trigonometric identities to simplify the in- tegrands. You must show your work in simplifying and evaluating each integral. Give your answers as fractions or in terms of T, where appropriate. cos² (iv) / COS“ X (i) sin? x dx dx 1+ sin x T r3™ (i) / 2 sec² (x) dx (v) / cos²(2x) d 0. cos² (x + 1) – sin (x+ 1) dx 3 (ii) (vi) sin x cos 2 dx 7T-4 4
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