BunbleBee's Posts
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3). Another common integral representation of the beta function is B( x , y ) = ∫ ∞ 0 t x −1 (1 + t ) x + y dt . So Γ( n)Γ(n-1) = B( n, n − 1) = ∫ ∞ 0 t n −1 1 + t dt . That integral can be evaluated by considering f( z ) = z n −1 1 + z and integrating around a keyhole contour with the branch cut for z n-1 along the positive real axis. Then ∫ ∞ 0 t n−1 1 + t dt + ∫ 0 ∞ ( te 2 πi ) n −1 1 + t dt = 2 πi Res[ f ( z ), = 2 πi ( e πi ) n − = − 2 πie πin which implies ∫ ∞ 0 t n −1 1 + t dt = −2 πie πin 1 − e 2 πin = π 2 i e πin − e − πin = π sinπn |
Olorun,OLUWA = LORD |
Evil eye is real. They post everything on social media knowing not everyone will be happy with your condition. Even God won't protect you when you don't show concern for yourself. |
Complicated Answers !!!! We live in a world where 2 + 2 = 5, Just as 1 + 1 +1 = 1 If you are confused �, read this: Who is god? Jesus Is Jesus the son of Mary? Yes Who created Mary? God. Who is God? Jesus Jesus is the begotten son. Yes Who is his father? God. Who is God? Jesus. Jesus is a servant of God? Yes Who is God? Jesus. Jesus died on the cross? Yes Who resurrected him? God. Who is God? Jesus Jesus is a messenger? Yes Who sent him? God. Who is God? Jesus. Did Jesus worship while on earth? Yes Whom did he worship? God. Who is God? Jesus. Did God have a beginning? No.... Then who was born on 25 DEC?Jesus. Who is God? Jesus. Where's God? In heaven How many are there in heaven?Only one God. Where's Jesus? He is sitted on the right hand of his father. Who is God? Jesus. Then how many are they in heaven? Only one God Then how many seats? One Where's Jesus? Seated next to God. Then how are they seated? On one chair Its only understood by those with the holy spirit. Who is God? Jesus. Hmm! what a confusion. So beautiful to be a Muslim, Allah (SWT) have mercy on us all and grant us His straight path for us not to go astray. إهدنا الصراط المستقيم |
Mr Plophet, you should worry about your own end and not someone's. |
SHAKED ? you want to be a blogger yet you lack basic communication skills. |
udemzyudex:The external removable battery, isn't it? |
Hello house.Recently,My PC started showing the below alert at startup: [i]"PRIMARY (INTERNAL) BATTERY (601) HP Battery Alert The system has detected the storage capacity of the battery stated below to be very low. For optimal performance, this battery may need to be replaced."[\i] it normally last 2.5hrs when not charging but now it last less than 15mins. please help |
2014 video. 2017-wizkid dae wear barret |
yeh!, my vaseline |
markode777:oshe baddest |
All over social media like woman.. shior |
hardluck... when you despair of God's mercy, you get depressed and hence this... people kill themselves without knowing where death leads to. A place you have never sern or been to. A human is made up of body & soul. Both need to be fed. Body is usually fed but the soul is left hungry, hence depression and grief. people who commit suicide try to kill the soul but rather they kill the body and the soul lives on. Do not leave your soul hungry by forgetting God. |
tin goes skrr kpa kpap poom poom
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that feeling almost made my 'Thomas'go skrr kpa kpa skyaa poom poom |
DEATH!,respecter of nobody. It doesn't care if you are wealthy ,poor, intelligent, influential, humble, wicked, nice,latborn of your family, breadwinner of your family,baby,sweet sixteen,just graduated, just married. When your appointed time is up, then it's up. O man, change your ways. We don't believe in death. We might believe it because we have seen people die before us but our actions shows we don't care about death. It is the most certain event we Humans are not preparing for, yet we prepare for tomorrow that's not certain. Do not fear WHEN you will die but fear the STATE in which death will meet you. #peace |
RareKind:why is your street deserted like on in 'I AM A LEGEND' movie |
First off, show us your Cgpa before you go.... born again should mean you have repented have gotten your past sins forgiven, so carry on with your life... oversabi. Also waiting for born again studying under the medical field to withdraw. |
dude is too expensive |
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All I see is a lady trying to be sure you are absolutely single and not just trying to take advantage of her. [b]My Advice[\b] Since she asked you guys to remain friends, then stop pestering her on this issue again and remain her friend. Joke with her alot, have fun, chat normal and maturely with her, don't show her you are not happy with her decision and don't ever mention that dating stuff to her again. Always be the one to end the chat like "goodnight, wanna sleep" even if you're not done chatting. If she really has a thing for you, she'll start asking questions like "how are your girlfriends" to draw your attention to the dating topic hoping you might ask her out again. Sometimes, persistence don't work with ladies. |
mumu op... i know this girl on facebook, so gerarahere mehn |
So make we REACT as usual |
that might just be some stuff in his pocket.
joblessness |
so dude is proud of himself? |
no alligators in Nigeria.
that thing is a MONITOR LIZARD |
IAMSASHY:(very)²¹ lame |
forces now synonymous to animals |
Op please be patient oo.
every relationship brings with it the 'Initial gragra'. **My Advice** GIVE IT TIME! peace! |
must he trek? man always burdens himself |
very lame raised to power 20