$\"\"$

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Prove $\"\"$ .

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The error function is $\"\"$ .

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$\"\"$

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Substitute $\"\"$ in above expression.

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$\"\"$

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$ .

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$\"\"$

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Consider $\"\"$ .

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Definite integral property: $\"\"$ .

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$\"\"$ .

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Property of integral: $\"\"$ .

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$\"\"$ .

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Substitute the values of $\"\"$ and $\"\"$ in the above integral.

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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$\"\"$ .