Patricia Crane
2021-12-12
Answered

Evaluate the indefinite integral.

$\int \frac{{e}^{t}dt}{{e}^{2t}+2{e}^{t}+1}$

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Shannon Hodgkinson

Answered 2021-12-13
Author has **34** answers

Step 1

Given:

for evaluating given integral we substitute

now differentiating equation (2) with respect to t

so,

now replacing

Step 2

so,

Step 3

now replacing x with et in equation (3)

hence, given integral is equal to

Andrew Reyes

Answered 2021-12-14
Author has **24** answers

We have:

Evaluate the integral

Substitute back

Answer:

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