The correct option is D cosx+c dy / dx =sin x dy=sin x dx ∫ dy =∫sin x dx = cosx+C ∴ y= cos x +C ...

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Property 7

If dydx=sin...

Question

If $\frac{d y}{d x} = sin x$ then $y =$

cos x + c

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sin x^{2} + c

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- sin x + x

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- cos x + c

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Solution

The correct option is D $- cos x + c$
$\frac{d y}{d x} = sin x d y = sin x d x \int d y = \int sin x d x = - cos x + C ∴ y = - cos x + C$

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