partial fraction decomposition

label Calculus
account_circle Unassigned
schedule 1 Day
account_balance_wallet $5

Jun 4th, 2015

Hello!

We have to compute the integral of pi*y^2(x) dx at the given range.
Note then at this range x>0 and 7-x>0.

y^(x) = 49/(7x - x^2) = 49/[x(7-x)] = 7*(1/x + 1/(7-x)).

So V = pi*int_0.75_6_[7*(1/x + 1/(7-x)]dx = 7pi*[lnx - ln(7-x)]_0.75_6 =

7pi*ln[x/(7-x)]_0.75_6 = 7pi*(ln(6) - ln(3/25)) =

7pi*ln(50).

Please ask if anyting is unclear.
Jun 4th, 2015

thank you!!!!!!;))

Jun 4th, 2015

:)

Jun 4th, 2015

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Jun 4th, 2015
...
Jun 4th, 2015
Jun 24th, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer