Erf?

Calculus Level 4

\[\displaystyle{\large{\int^{\infty}_{0} \dfrac{e^{-2x}}{\sqrt{5+x}} \ dx = \sqrt{\dfrac{\pi}{a}}e^{ab}(1-\text{erf}(\sqrt{ab}))}}\]

where \(a,b\) \(\in \mathbb R^{+} \neq 0\).

Calculate \(\dfrac{a+b+2ab}{3}\)

Notations: \(\text{erf }(\cdot)\) denotes the error function.

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