11.1 Integrating Standard Functions

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The curve $C\,$ has equation $y = f (x)$ where $x > 0$ .

Given that

$\dfrac{(5\sqrt{x} + 2)^2}{x^2\sqrt{x}}$
the point $P (4, - 10)$ lies on $C$

(i) Find the value of the gradient of the curve at $P$ .

(ii) Hence find the equation of the tangent to $C\,$ at $P$ , giving your answer in the form $a x + b y + c = 0$ , where $a$ , $b\,$ and $c\,$ are integers to be found.

[4]

Find $f (x)$ , simplifying your answer.

[6]

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.