integral from 0 to infinity of 7/(x^2+4)

Lösung

\int_{0}^{\infty} \frac{7}{x ^{2} + 4} d x

\frac{7 π}{4}

Dezimale

5.49778 \dots

Schritte zur Lösung

\int_{0}^{\infty} \frac{7}{x ^{2} + 4} d x

Berechne das unbestimmte Integral:

\int \frac{7}{x ^{2} + 4} d x = \frac{7}{2} arctan (\frac{x}{2}) + C

Berechne die Grenzen:

\int_{0}^{\infty} \frac{7}{x ^{2} + 4} d x = \frac{7 π}{4} - 0

= \frac{7 π}{4} - 0

Vereinfache

= \frac{7 π}{4}

\frac{\partial}{\partial x} (y^{4} cos (4 x) \cdot 4)

\int \frac{x ^{2} - 49}{x} d x

a re a x + y^{2} = 2, x + y = 0

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