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Anti-differentiate exponential and circular functions

DIFFICULTYintrostandardchallengeexam
QUESTION TYPEMix of allChange
exponential:1:family:directcircular:1:family:directNOWMix of allRecommended
Question 1 of 8

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Consider the function with the displayed rule

\[g(t)=6\,\sin\left(2t\right)\]
\[\int 6\,\sin\left(2t\right)\,dt\]
1 mark

Find the full family of functions whose derivative is the integrand