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Will the answer be option a) or option d) ?

in Calculus by (7 points)
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Yes @arkaprava I know it is not .But since  it is of Calculus part and our portion, so posted it.
@Aishvarya, answer should be (d)
$ds =\sqrt{1+ \left ( \frac{dy}{dx}\right )^{2}}dx$

now integrate by taking limits from  $-L/2$ to $L/2$ and then apply the property of definite integral and change integral 2 times with limits $0$ to $L/2$

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