Function Expression :
\[f(x)=2x^2+\frac{2-2e^{x^2}}{1+x^{2e^{x^2}}} \]Domain
\[\mathbb{R} \setminus \left\{x\; \middle|\; x \in \mathbb{R} \wedge x^{2 e^{x^{2}}} + 1 = 0 \right\} \]Limits
\[ \]Derivate
\[ \]Integral
\[F(x) = 2 \left(\int \frac{x^{2}}{x^{2 e^{x^{2}}} + 1}\, dx + \int \left(- \frac{e^{x^{2}}}{x^{2 e^{x^{2}}} + 1}\right)\, dx + \int \frac{x^{2} x^{2 e^{x^{2}}}}{x^{2 e^{x^{2}}} + 1}\, dx + \int \frac{1}{x^{2 e^{x^{2}}} + 1}\, dx\right) \]Sign Table
Variation Table
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