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Year 12 Maths Extension 1 Calculus

Trig Integration

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Question 1
64514

Which expression is equal to \( \int \sin ^2 3 x \,d x \text { ? }\)

A.

\(\dfrac{1}{2}\left(x-\dfrac{1}{6} \sin 6 x\right)+C\)

B.

\(\dfrac{1}{2}\left(x+\dfrac{1}{6} \sin 6 x\right)+C\)

C.

\(\dfrac{1}{2}\left(x-\dfrac{1}{3} \sin 3 x\right)+C\)

D.

\(\dfrac{1}{2}\left(x+\dfrac{1}{3} \sin 3 x\right)+C\)

\(\dfrac{1}{2}\left(x-\dfrac{1}{6} \sin 6 x\right)+C\)

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