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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 : 32

Total: 38

What is α equal to?

tan−1(
a
b
)
tan−1(
b
a
)
tan−1(
a+b
a−b
)
tan−1(
a−b
(a+b)
)

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