Indefinite Integrals

Section: Mathematics

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Question : 6 of 89

Marks: +1, -0

If ∫(sin‌x)‌

−11

2

(cos‌x)‌

−5

2

‌dx=−‌

p1

q1

(cot‌x)‌

9

2

−‌

p2

q2

(cot‌x)‌

5

2

−‌

p3

q3

(cot‌x)‌

1

2

+‌

p4

q4

(cot‌x)‌

−3

2

+C, where pi and qi are positive integers with gcd(pi,qi)=1 for i=1,2,3,4 and C is the constant of integration, then ‌

15p1p2p3p4

q1q2q3q4

is equal to ____

[22 Jan 2026 Shift 1]

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