« previous next »
Pages: [1]   Go Down

Author Topic: P1 Pure maths CIE questions  (Read 747 times)

Offline xxemoxx

  • Newbie
  • *
  • Posts: 43
  • Reputation: 44
P1 Pure maths CIE questions
« on: January 29, 2010, 01:29:27 pm »
Find the volume when the region bounded by the graphy of y=f(x), the y-axis and the lines y=c and y=d is rotated about the y-axis to form a solid of revolution

f(x) = 1/x + 2
c=3, d=5

source: P1 Pg 262 Q3 part h
Logged

Offline astarmathsandphysics

  • SF Overlord
  • *********
  • Posts: 11271
  • Reputation: 65534
  • Gender: Male
  • Free the exam papers!
Re: P1 Pure maths CIE questions
« Reply #1 on: January 29, 2010, 02:05:00 pm »
Find the volume when the region bounded by the graphy of y=f(x), the y-axis and the lines y=c and y=d is rotated about the y-axis to form a solid of revolution

f(x) = 1/x + 2
c=3, d=5

source: P1 Pg 262 Q3 part h
\int^5_3 x^2 dy =\int^5_3\frac {1}{(y-2)^2} dy =[\frac {-1}{y-2} ]^5_3 =-1/3 +1=2/3
Logged
Pages: [1]   Go Up
« previous next »