NDA Math Indefinite Integrals

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For the next two (2) items that follow :
The integral ∫

dx

acosx+bsinx

is of the form

1

r

ln[tan(

x+α

2

)]

[NDA I 2015]

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Question : 31 of 38

Marks: +1, -0

What is r equal to ?

[NDA I 2015]

a2+b2
√a2+b2
a+b
√a2−b2

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