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1 of 8 0-day streak

Lesson Practice

Elementary primitives and exact definite integrals

DIFFICULTYintro standard challenge exam

QUESTION TYPEMix of allChange

exponential:1:family:direct circular:1:family:direct Two-limit exponential Two-limit circular rational NOWMix of allRecommended

Question 1 of 8

No calculator

The rule for the function is shown below

f(t)=-2\,\sin\left(3t\right)

\int -2\,\sin\left(3t\right)\,dt

1 mark

Select the complete family of anti-derivatives

F(t)=\frac{2}{3}\,\cos\left(3t\right) + C

F(t)=-\frac{2}{3}\,\cos\left(3t\right) + C

F(t)=\frac{2}{3}\,\cos\left(3t\right)

F(t)=2\,\cos\left(3t\right) + C

F(t)=\frac{2}{3}\,\sin\left(3t\right) + C