Jaeden Weaver
2022-05-11
Answered

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

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Lucille Melton

Answered 2022-05-12
Author has **18** answers

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.

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

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