11.1 Integrating Standard Functions
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A curve has equation y=f(x)y = f(x)y=f(x), where

f′′(x)=12x5+4x,x>0f''(x) = \frac{12}{\sqrt{x^5}} + 4x, \quad x > 0f′′(x)=x5​12​+4x,x>0

The point P(1,−2)P(1, -2)P(1,−2) lies on the curve.

Given that f′(x)=1f'(x) = 1f′(x)=1 at point PPP,

a.

find the equation of the normal at PPP, writing your answer in the form y=mx+cy = mx + cy=mx+c, where mmm and ccc are constants,

[3]
b.

find f(x)f(x)f(x).

[5]

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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