Recovering a curve from derivative information

Recovering a curve from derivative information

4 marks
TGM Original
A curve has (dy)/(dx)=- 4 sin(2 x) + 3 cos(x) and passes through (0,1). Find its equation.

Solution:

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Answer:\(y=3 \sin{\left(x \right)} + 2 \cos{\left(2 x \right)} - 1\)

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