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Tamil Nadu Board of Secondary EducationHSC Commerce Class 12

Evaluate the following: Γ(92)

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Question

Evaluate the following:

`Γ (9/2)`

Sum
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Solution

`Γ (9/2) = (9 /2 - 1) Γ(9/2 - 1)`

= `7/2 Γ 7/2`

= `7/2 5/2 Γ 5/2`

= `7/2 5/2 3/2 Γ 3/2`

= `7/2 5/2 3/2 1/2 Γ (1/2)`

= `(105sqrt(pi))/16`

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Chapter 2: Integral Calculus – 1 - Exercise 2.10 [Page 51]

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Samacheer Kalvi Business Mathematics and Statistics [English] Class 12 TN Board
Chapter 2 Integral Calculus – 1
Exercise 2.10 | Q 1. (ii) | Page 51
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