| Exam Board | SPS |
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| Module | SPS SM Pure (SPS SM Pure) |
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| Year | 2023 |
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| Session | June |
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| Topic | Indefinite & Definite Integrals |
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1.
Find
$$\int \left( x ^ { 4 } - 6 x ^ { 2 } + 7 \right) \mathrm { d } x$$
giving your answer in simplest form.
Curve C has equation
$$y = x ^ { 3 } - 7 x ^ { 2 } + 5 x + 4$$
The point \(P ( 2 , - 6 )\) lies on \(C\)
Find the equation of the tangent to \(C\) at \(P\)
Give your answer in the form \(y = m x + c\) where \(m\) and \(c\) are integers to be found.