Function Expression :
\[f(x)=ln(1+2e^{2x} ) \]Domain
\[\left]-\infty, \infty\right[ \]Limits
\[\lim_{x \rightarrow-\infty}f(x) = 0 \]\[\lim_{x \rightarrow+\infty}f(x) = +\infty \]
\[ \]
Derivate
\[f^{\,\prime}(x)=\frac{4 e^{2 x}}{2 e^{2 x} + 1} \]\[ \]
Integral
\[F(x) = x \log{\left(2 e^{2 x} + 1 \right)} - 4 \int \frac{x e^{2 x}}{2 e^{2 x} + 1}\, dx \]Sign Table
Variation Table
Plot
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