**| Example 12

PHYSICS · Multi-part · A Level · Physics · Fields and their consequences · Capacitor charge and discharge

Problem

**| Example 12 (i) If

f'(x) = \frac{x}{2} + \frac{2}{x}

and

f(1) = \frac{5}{4}

, then find

f(x)

. (ii) The gradient of the curve is given by

\frac{dy}{dx} = 2x - \frac{3}{x^2}

. The curve passes through

(1, 2)

find its equation.