integral from 0 to 2 of (x/(1+x^4))

Lösung

\int_{0}^{2} (\frac{x}{1 + x ^{4}}) d x

\frac{1}{2} arctan (4)

Dezimale

0.66290 \dots

Schritte zur Lösung

\int_{0}^{2} \frac{x}{1 + x ^{4}} d x

Berechne das unbestimmte Integral:

\int \frac{x}{1 + x ^{4}} d x = \frac{1}{2} arctan (x^{2}) + C

Berechne die Grenzen:

\int_{0}^{2} (\frac{x}{1 + x ^{4}}) d x = \frac{1}{2} arctan (4) - 0

= \frac{1}{2} arctan (4) - 0

Vereinfache

= \frac{1}{2} arctan (4)

\int_{1}^{3} (x + 4) d x

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\int_{- 1}^{3} x e^{(2 - x)} d x

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\int_{- \infty}^{- 1} \frac{e ^{x}}{x} d x