Sir plz help::Gamma function

gamma fn bole to...

waise main to pura integratio me bewkoof hun.. :( but am happily living with that... [3]

ajeeb hai yaar....

∞
∫ e^-xx^n-1 dx
0

i know only delta function

aab yeh kaun hai?? :P

ok................walis formula to hai naa sir??????

mere ko α β γ δ sab pata hai.. par function nahi sirf alphabets... :P

using gamma fn there is a shortcut for evaluating integrals of this type

₀∫^Ï€/2sin^mx.cosⁿx dx ={ \gamma ((m+1)/2) + \gamma ((n+1)/2)} \div ({2*( \gamma ((m+n+2)/2)})

and remember Γ(1/2)≡√Î
Γ(2n+1/2) = (2n-1)/2 * (2n-3)/2 ..... * 1/2 * √Î

and Γ(N+1) = N!