| Exam Board | SPS |
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| Module | SPS SM (SPS SM) |
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| Year | 2021 |
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| Session | November |
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| Topic | Standard Integrals and Reverse Chain Rule |
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9.
a.
i. Show that \(\cos ^ { 2 } x \equiv \frac { 1 } { 2 } + \frac { 1 } { 2 } \cos 2 x\)
ii. Hence find \(\int 2 \cos ^ { 2 } 4 x d x\)
b. Find \(\int \sin ^ { 3 } x d x\)