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xlebrny1215
23.02.2021 •
Mathematics
The image represents which of the following?
intersection, 'and"
union, or
intersection, 'or"
union, 'and"
Solved
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Ответ:
The solution is![\frac{1}{10} * tan^{-1}[\frac{e^{2x}}{5} ] + C](/tpl/images/0745/6874/9eebf.png)
Step-by-step explanation:
From the question
The function given is![f(x) = \frac{e^{2x}}{ 25 + e^{4x}} dx](/tpl/images/0745/6874/76c3c.png)
The indefinite integral is mathematically represented as
Now let![e^{2x} = u](/tpl/images/0745/6874/d855b.png)
=>![\frac{du}{dx} 2e^{2x}](/tpl/images/0745/6874/d71d3.png)
=>![2 e^{2x}dx = du](/tpl/images/0745/6874/5c655.png)
So
Now substituting for u