Chapter 2 Integration of Tangent Power and Multiple Angle

3
[CHAPTER 2: INTEGRATION] 2.3 Integration of Trigonometric Expreion 2.3.2.3 Po!er of Tangent Formulas: Exercise: Solve all the following functions a) ∫  θ θ d 2 tan 3 b) ∫        θ θ θ θ θ θ d 2 cos cot sec tan sin c) ∫        θ θ d 4 cot 1 d) ∫   +  θ θ θ θ θ  d 4 2  tan sin cot tan 4 UniKL MIMET/ January 2013 | | 1

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[CHAPTER 2: INTEGRATION]

2.3 Integration of Trigonometric Expreion

2.3.2.3 Po!er of Tangent

Formulas:

Exercise: Solve all the following functions

a)

∫    θ θ d 2

tan3

b)

∫       

  

θ θ θ θ 

θ θ d 

2coscotsec

tansin

c)

∫       

  

θ θ 

d 

4

cot

1

d)

∫   

+   θ θ θ θ θ    d 4

2  tan

sincottan4

UniKL MIMET/ January 2013 | | 1

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[CHAPTER 2: INTEGRATION]

UniKL MIMET/ January 2013 | | 2

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2.3.3 "#$tip$e Ang$e

Formulas:

Exercise: Solve the following integrals

(a)

∫    xdx  x    2cos3sin

(b)

∫    xdx  x    4cos12cos

 (c)

∫    xdx  x    4sin5sin

()

∫    xdx  x sin3cos

 (e)

∫    xdx  x    5coscos

(f)

∫    xdx  x    13sin3sin

 (g)

∫    xdx  x   2

cos3sin


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