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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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