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1.7 Integration

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Question 55

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

Given that

$C\,$ passes through the point $P (4, 5)$
$f′(x)=12x2+x−3\displaystyle f'(x) = \frac{12}{x^2} + \sqrt{x} - 3$

a.

Find the equation of the tangent to $C\,$ at $P$ . Write your answer in the form $y = m x + c$ , where $m\,$ and $c\,$ are constants to be found.

[4]

b.

Find, in simplest form, $f (x)$ .

[5]

1.7 Integration Questions

A Level
Maths
1.7 Integration