11.1 Integrating Standard Functions
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The curve C with equation y=f(x)y = f(x)y=f(x), x>0x > 0x>0, passes through the point P(9,2)P(9, 2)P(9,2).

Given that f′(x)=2x−5+18x2f'(x) = 2\sqrt{x} - 5 + \frac{18}{x^2}f′(x)=2x​−5+x218​

a.

find the equation of the normal to C at P. Write your answer in the form ax+by+c=0ax + by + c = 0ax+by+c=0, where aaa, bbb and ccc are integers to be found.

[4]
b.

Find f(x)f(x)f(x).

[4]

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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