# Find the integral: e t </mrow> <msqrt>

Find the integral: $\int \frac{{e}^{t}}{\sqrt{{e}^{2t}+4}}dt$.
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Multiply $\frac{{e}^{t}}{\sqrt{{e}^{2t}+4}}$ by $\frac{\sqrt{{e}^{2t}+4}}{\sqrt{{e}^{2t}+4}}$.

$\frac{{e}^{t}}{\sqrt{{e}^{2t}+4}}\cdot \frac{\sqrt{{e}^{2t}+4}}{\sqrt{{e}^{2t}+4}}$

Combine and simplify the denominator.

$\frac{{e}^{t}\sqrt{{e}^{2t}+4}}{{e}^{2t}+4}$