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Definite Integration question

2021 · 25 Feb · Shift 2 · Q35

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PYQ Library
JEE Main
Mathematics
Definite Integration
2021 · 25 Feb · Shift 2 · Q35

Definite Integration question

2021 · 25 Feb · Shift 2 · Q35

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

If

{I_n} = \int\limits_{{\pi \over 4}}^{{\pi \over 2}} {{{\cot }^n}x\,dx}

, then :

A
${1 \over {{I_2} + {I_4}}},{1 \over {{I_3} + {I_5}}},{1 \over {{I_4} + {I_6}}}$ are in A.P.
B
I2 + I4, I3 + I5, I4 + I6 are in A.P.
C
${1 \over {{I_2} + {I_4}}},{1 \over {{I_3} + {I_5}}},{1 \over {{I_4} + {I_6}}}$ are in G.P.
D
I2 + I4, (I3 + I5)2, I4 + I6 are in G.P.

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