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GATE Mathematics 2014 Paper

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Question : 17 of 55

Marks: +1, -0

The solution to the integral equation

\varnothing(x)= x + \int_0^x \sin(x-\xi) \varnothing(\xi) \, d\xi

is

$x^2 + \frac{x^3}{3}$
$x - \frac{x^3}{3!}$
$x + \frac{x^3}{3!}$
$x^2 - \frac{x^3}{3!}$

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