Indefinite Integrals

Section: Mathematics

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Question : 3 of 89

Marks: +1, -0

Let f(t)=∫(‌

1−sin‌(loget)

1−cos(loget)

)‌dt,t>1.
If f(eπ∕2)=−eπ∕2 and f(eπ∕4)=αeπ∕4, then α equals

[24 jan 2026 Shift 1]

1+√2
−1−2√2
−1−√2
−1+√2

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