1. fcosax tan(sin ax)dx - In |cos(sin ax)|+ c ans : or In |sec(sin ax)| + c 2. Ssin(cos.x)·sin x dx ans : cos (cos x)+ c ans :

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 40E
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II. Trigonometric function with angle is a function of x.
Let U be the angle.
Scosu du = sin u + c,
Scos(ax) dx =+sin(ax)+c
and
where a is a
constant
[cos(ax)]' = -sin(ax).[ax]' = -sin(ax).a. This rule applies to
other trig functions too.
1. fcosax tan(sin ax)dx
- In |cos(sin ax)|+c
2. Ssin(cos x)·sin x dx
ns : cos (cos.x)+c
ans :
ans : or –In sec(sin ax) +c
Transcribed Image Text:II. Trigonometric function with angle is a function of x. Let U be the angle. Scosu du = sin u + c, Scos(ax) dx =+sin(ax)+c and where a is a constant [cos(ax)]' = -sin(ax).[ax]' = -sin(ax).a. This rule applies to other trig functions too. 1. fcosax tan(sin ax)dx - In |cos(sin ax)|+c 2. Ssin(cos x)·sin x dx ns : cos (cos.x)+c ans : ans : or –In sec(sin ax) +c
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