Skip to content

Course home

Sign up

11.7 Partial Fractions

MediumHard
12345678910
Question 2

The curve C C\,C has the parametric equations

x=ln⁡(t+5)y=1t+4t>−4 x = \ln(t+5) \quad y = \frac{1}{t+4} \quad t > -4 x=ln(t+5)y=t+41​t>−4

The finite region R R\,R between the curve C C\,C and the x x\,x axis is bounded by the lines with equations x=ln⁡5x = \ln 5x=ln5 and x=ln⁡10x = \ln 10x=ln10.

a.

Show that the area of R R\,R is given by the integral ∫051(t+4)(t+5) dt\displaystyle \int_0^5 \frac{1}{(t+4)(t+5)} \, dt∫05​(t+4)(t+5)1​dt

[4]
b.

Hence find an exact value for this area.

[6]
Markscheme

11.7 Partial Fractions Questions

  1. A Level
  2. /Maths
  3. /11.7 Partial Fractions

19 exam-style questions on Edexcel A Level Maths 11.7 Partial Fractions. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank