Mrkumareze:
It's like you don't know where to post such question. Nairaland is characterized by lazy men and women

like seriously?

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...
now do the rest

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...

dejt4u:

this resembles Mathematical Physics.. Beta and Gamma functions (Euler's function)

something like that

you've tried your best right?... ; e pain am

presh2dk:
Abeg keep your card

you've tried your best right?... e pain am

ok after 5hrs...

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)

none can even make attempt Nigerians are not reading

senior mathematicians please solve the problems

Somebody help me with these 4 questions
solve
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)

experienced

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