11.1 Integrating Standard Functions
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The curve C C\,C has equation y=f(x)y = f(x)y=f(x) where x>0x > 0x>0.

Given that

  • f′(x)=10x−(x+1)(2x−3)2xf'(x) = 10x - \dfrac{(x + 1)(2x - 3)}{2\sqrt{x}}f′(x)=10x−2x​(x+1)(2x−3)​
  • the point P(1,4)P(1, 4)P(1,4) 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.

[7]

11.1 Integrating Standard Functions Questions

Practise Edexcel A Level Maths 11.1 Integrating Standard Functions with exam-style questions for A Level Maths. 81 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

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11.1 Integrating Standard Functions Questions

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