Mathematics 9709 · AS & A Level · Integration

Integration — practice question

The curve is defined by $\frac{dy}{dx} = \frac{3}{x^4} + 32x^3$. It is also stated that the curve goes through $\left(\frac{1}{2}, 4\right)$.
(main)[4]

Determine the equation of the curve.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: Integrated result written correctly as $y=-\frac{1}{x^3}+8x^4+c$

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