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UPSC NDA I 2014 Mathematics Paper

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For the next two (02) items that follow:
Consider the integrals
I1=
Ï€
3
∫
Ï€
6
dx
1+√tanx
and I2=
Ï€
3
∫
Ï€
6
√sinxdx
√sinx+√cosx
[NDA I 2014]
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