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I'll Send A Card Worth #2000 If Anyone Can Solve These Problems - Education - Nairaland

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I'll Send A Card Worth #2000 If Anyone Can Solve These Problems by sopstan(m): 5:50am On Jan 20, 2018
You will recieve 2k worth of airtime if you get these questions within 5hrs

1. integral[1/((e^t)-1)]dt

2. integral(lnx)

3. show that |n|n-1=π/sinnπ (| rep a sign in gamma and beta function)

4. show that beta(m,n)=(|p|q)/|(p+q)
Re: I'll Send A Card Worth #2000 If Anyone Can Solve These Problems by dingbang(m): 5:53am On Jan 20, 2018
U dey find person wey go solve your assignment for you abi.. No worry... grin

Things will be made easy soon for you

3 Likes

Re: I'll Send A Card Worth #2000 If Anyone Can Solve These Problems by doughziay: 5:56am On Jan 20, 2018
sopstan:
You will recieve 2k worth of airtime if you get these questions within 5hrs

1. integral[1/((e^t)-1)]dt

2. integral(lnx)

3. show that |n|n-1=π/sinnπ (| rep a sign in alpha and beta function)

4. show that beta(m,n)=(|p|q)/|(p+q)


I'll pay you double that amount if you'll solve it.

4 Likes

Re: I'll Send A Card Worth #2000 If Anyone Can Solve These Problems by sopstan(m): 5:59am On Jan 20, 2018
ok after 5hrs...grin
Re: I'll Send A Card Worth #2000 If Anyone Can Solve These Problems by presh2dk(m): 6:16am On Jan 20, 2018
Abeg keep your card
Re: I'll Send A Card Worth #2000 If Anyone Can Solve These Problems by sopstan(m): 6:20am On Jan 20, 2018
presh2dk:
Abeg keep your card
you've tried your best right?... grin e pain am

1 Like

Re: I'll Send A Card Worth #2000 If Anyone Can Solve These Problems by sopstan(m): 6:21am On Jan 20, 2018
you've tried your best right?... grin; e pain am

1 Like

Re: I'll Send A Card Worth #2000 If Anyone Can Solve These Problems by LordSkinnie(m): 6:27am On Jan 20, 2018
Simple.

Answer - South Africa.

where my card?

sopstan:
You will recieve 2k worth of airtime if you get these questions within 5hrs

1. integral[1/((e^t)-1)]dt

2. integral(lnx)

3. show that |n|n-1=π/sinnπ (| rep a sign in alpha and beta function)

4. show that beta(m,n)=(|p|q)/|(p+q)

1 Like

Re: I'll Send A Card Worth #2000 If Anyone Can Solve These Problems by dejt4u(m): 6:35am On Jan 20, 2018
sopstan:
You will recieve 2k worth of airtime if you get these questions within 5hrs

1. integral[1/((e^t)-1)]dt

2. integral(lnx)

3. show that |n|n-1=π/sinnπ (| rep a sign in alpha and beta function)

4. show that beta(m,n)=(|p|q)/|(p+q)
this resembles Mathematical Physics.. Beta and Gamma functions (Euler's function)
Re: I'll Send A Card Worth #2000 If Anyone Can Solve These Problems by sopstan(m): 6:38am On Jan 20, 2018
dejt4u:

this resembles Mathematical Physics.. Beta and Gamma functions (Euler's function)
something like that
Re: I'll Send A Card Worth #2000 If Anyone Can Solve These Problems by falcon01: 7:16am On Jan 20, 2018
MAKE I SOLVE
Re: I'll Send A Card Worth #2000 If Anyone Can Solve These Problems by sopstan(m): 8:01am On Jan 20, 2018
sopstan:
You will recieve 2k worth of airtime if you get these questions within 5hrs

1. integral[1/((e^t)-1)]dt

2. integral(lnx)

3. show that |n|n-1=π/sinnπ (| rep a sign in alpha and beta function)

4. show that beta(m,n)=(|p|q)/|(p+q)
2. sol integral(Inx)= integral(lnx.x°) (where x°=1)

this becomes integral(udv)

u=Inx and dv=x°

du=1/x and v=x then using integratn by parts

you have uv-integral(vdu) which will be

Inx.x-integral(x.1/x)dx = xInx-x = x(Inx-1)ans... grin grin
Re: I'll Send A Card Worth #2000 If Anyone Can Solve These Problems by Mrkumareze(m): 8:13am On Jan 20, 2018
It's like you don't know where to post such question. Nairaland is characterized by lazy men and women

2 Likes

Re: I'll Send A Card Worth #2000 If Anyone Can Solve These Problems by sopstan(m): 8:32am On Jan 20, 2018
sopstan:
You will recieve 2k worth of airtime if you get these questions within 5hrs

1. integral[1/((e^t)-1)]dt

2. integral(lnx)

3. show that |n|n-1=π/sinnπ (| rep a sign in alpha and beta function)

4. show that beta(m,n)=(|p|q)/|(p+q)

1. sol integral[1/((e^t)-1)]dt
u=e^t, du=e^tdt, dt=du/e^t=du/u
the whole guy now becomes integral[du/u(u-1)]
then you resolve into partial fraction it now becomes
integral[1/(u+1)-1/u]du you then integrate=
In(u+1)-Inu=In[(u+1)/u] (since u=e^t) the whole guy now becomes
In[((e^t)+1)/e^t] or In[1+1/e^t]ans... grin grin
now do the rest
Re: I'll Send A Card Worth #2000 If Anyone Can Solve These Problems by sopstan(m): 8:34am On Jan 20, 2018
Mrkumareze:
It's like you don't know where to post such question. Nairaland is characterized by lazy men and women
like seriously?
Re: I'll Send A Card Worth #2000 If Anyone Can Solve These Problems by BunbleBee: 9:18am On Jan 20, 2018
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
Re: I'll Send A Card Worth #2000 If Anyone Can Solve These Problems by sopstan(m): 9:36am On Jan 20, 2018
BunbleBee:
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
the integral limit should be 0-1 since it's a beta function B(m,n) you try weldone
Re: I'll Send A Card Worth #2000 If Anyone Can Solve These Problems by BunbleBee: 9:42am On Jan 20, 2018
.
Re: I'll Send A Card Worth #2000 If Anyone Can Solve These Problems by MYSELF2018: 9:43am On Jan 20, 2018
sopstan:
You will recieve 2k worth of airtime if you get these questions within 5hrs

1. integral[1/((e^t)-1)]dt

2. integral(lnx)

3. show that |n|n-1=π/sinnπ (| rep a sign in alpha and beta function)

4. show that beta(m,n)=(|p|q)/|(p+q)
I can solve it for you. I am not with my android phone here, but I'l send it in the evening when I get back home. Please kindly send your whatsap number to praisejummy42@gmail.com
Re: I'll Send A Card Worth #2000 If Anyone Can Solve These Problems by spartandude: 7:07am On Jan 21, 2018
which you championed undecided undecided grin grin
Mrkumareze:
It's like you don't know where to post such question. Nairaland is characterized by lazy men and women
Re: I'll Send A Card Worth #2000 If Anyone Can Solve These Problems by spartandude: 7:10am On Jan 21, 2018
Anus ofcourse grin grin grin grin cheesy cheesy cheesy cheesy cheesy cheesy
sopstan:
we're talking maths here this one is talking trash pls where do you think from

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