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NDA Math Definite Integrals

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For the next two(2) items that follow:
Consider the integrals
A=

π

∫

0

‌

sin‌x‌d‌x

sin‌x+cos‌x

and B=

π

∫

0

‌

sin‌x‌d‌x

sin‌x−cos‌x

[NDA II 2015]

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Question : 46 of 62

Marks: +1, -0

Which one of the following is correct ?

A=2B
B=2A
A=B
A=3B

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