Skip to content

Course home

Sign up

11.1 Integrating Standard Functions

EasyMediumHard
12345678910
Question 9

The profile of a high-precision optical lens is modelled by a curve C C\,C with equation y=f(x)y = f(x)y=f(x) for x>0x > 0x>0.

Given that

  • f′(x)=8x2−(x−4)(2x+5)2xf'(x) = 8x^2 - \dfrac{(x - 4)(2x + 5)}{2\sqrt{x}}f′(x)=8x2−2x​(x−4)(2x+5)​
  • the point P(1,12)P(1, 12)P(1,12) lies on CCC
a.

find the equation of the normal to C C\,C at PPP, giving your answer in the form y=mx+cy = mx + cy=mx+c where m m\,m and c c\,c are constants to be found.

[4]
b.

find f(x)f(x)f(x), giving each term in simplest form.

[5]
Markscheme

11.1 Integrating Standard Functions Questions

  1. A Level
  2. /Maths
  3. /11.1 Integrating Standard Functions

80 exam-style questions on Edexcel A Level Maths 11.1 Integrating Standard Functions. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank