how-can-solve-this-with-by-steps-please-3-2-7-2-2-5-i-want-solution-step-by-step-because-i-understand-this-

Question Number 141535 by mohammad17 last updated on 20/May/21

h o w c a n s o l v e t h i s w i t h b y s t e p s p l e a s e

\frac{Γ (\frac{3}{2}) Γ (\frac{7}{2})}{2 Γ (5)} i w a n t s o l u t i o n s t e p b y s t e p

b e c a u s e i u n d e r s t a n d t h i s ?

Commented by Dwaipayan Shikari last updated on 20/May/21

Γ (\frac{3}{2}) = Γ (\frac{1}{2} + 1) = \frac{1}{2} Γ (\frac{1}{2}) = \frac{\sqrt{π}}{2}

Γ (\frac{7}{2}) = Γ (\frac{5}{2} + 1) = \frac{5}{2} Γ (\frac{3}{2} + 1) = \frac{5}{2} . \frac{3}{2} Γ (\frac{1}{2} + 1) = \frac{5.3.1}{2^{3}} Γ (\frac{1}{2}) = \frac{15 \sqrt{π}}{8}

\frac{Γ (\frac{3}{2}) Γ (\frac{7}{2})}{2 Γ (5)} = \frac{15 π}{32.4!} = \frac{3.5 π}{3.256} = \frac{5 π}{256}