Question 5

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Jambmaths question: 

If $\frac{dy}{dx}=x+\cos x$ find y 

Option A: 

$\tfrac{{{x}^{2}}}{2}-\sin x+c$

Option B: 

${{x}^{2}}-\sin x+c$

Option C: 

$\tfrac{{{x}^{2}}}{2}+\sin x+c$ 

Option D: 

${{x}^{2}}+\sin x+c$

Jamb Maths Solution: 

$\begin{align}  & \frac{dy}{dx}=x+\cos x \\ & y=\int{(x+\cos x)dx} \\ & y=\tfrac{{{x}^{2}}}{2}+\sin x+c \\\end{align}$

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