On the x-axis and at a distance x from the origin, the gravitational field due to mass distribution is given by \frac{Ax}{(x^{2}+a^{2})^{\frac{3}{2}}} in the x-direction. The magnitude of gravitational potential on the x-axis at a distance x, taking its value to be zero at infinity, is:
Option: 1 \frac{A}{(x^{2}+a^{2})^{\frac{1}{2}}}
Option: 2 \frac{A}{(x^{2}+a^{2})^{\frac{3}{2}}}
Option: 3 A(x^{2}+a^{2})^{\frac{1}{2}}
Option: 4 A(x^{2}+a^{2})^{\frac{3}{2}}

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