dx d (tan³ x) = 3 (sec+ x - 1 19 a Show that dx sec² x). I b Hence find fö sec4 x dx. EN

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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How to solve Q19 a and b. Thank you.
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Trig Functions.pdf
Page 37 of 46
Chapter 7 The trigonometric functions
18 Find
d
dx
(x sin 2x), and hence find
19 a Show that
i
2 sin 3x cos 2x dx
✔
[si
ing the primitive,
(²³
d -(tan³ x) = 3 (sec¹ x - sec² x).
dx
c Show that
0
x cos 2x dx.
20 a Show that sin (A + B) + sin (A - B) = 2 sin A cos B.
b
Hence find:
√³2
0
0,
72% 4
ho identity
☎ Q
ii
Q Search
b Hence find
nd ₁ se
Sat 29 Apr 11:54:37 am
sin mx cos nx dx = 0 for positive integers m and n:
sec+ x dx.
si
sin 3x cos 4x dx
ii using symmetry arguments.
ENRICH
7 sin x + 11 cos x.
Transcribed Image Text:Help Trig Functions.pdf Page 37 of 46 Chapter 7 The trigonometric functions 18 Find d dx (x sin 2x), and hence find 19 a Show that i 2 sin 3x cos 2x dx ✔ [si ing the primitive, (²³ d -(tan³ x) = 3 (sec¹ x - sec² x). dx c Show that 0 x cos 2x dx. 20 a Show that sin (A + B) + sin (A - B) = 2 sin A cos B. b Hence find: √³2 0 0, 72% 4 ho identity ☎ Q ii Q Search b Hence find nd ₁ se Sat 29 Apr 11:54:37 am sin mx cos nx dx = 0 for positive integers m and n: sec+ x dx. si sin 3x cos 4x dx ii using symmetry arguments. ENRICH 7 sin x + 11 cos x.
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