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Beliebt Rechnen >

integral from 0 to 1 of cos(t^2)

Lösung

\int_{0}^{1} cos (t^{2}) d t

Lösung

\frac{π}{2} C (\frac{2}{π} \cdot 1) - \frac{π}{2} C (\frac{2}{π} \cdot 0)

Schritte zur Lösung

\int_{0}^{1} cos (t^{2}) d t

Das ist ein nicht elementares Integral :

\int cos (x^{2}) d x = \frac{π}{2} C (\frac{2}{π} x)

= [\frac{π}{2} C (\frac{2}{π} t)]_{0}^{1}

Berechne die Grenzen:

\frac{π}{2} C (\frac{2}{π} \cdot 1) - \frac{π}{2} C (\frac{2}{π} \cdot 0)

= \frac{π}{2} C (\frac{2}{π} \cdot 1) - \frac{π}{2} C (\frac{2}{π} \cdot 0)

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\int_{- 3}^{5} \frac{5}{x ^{5}} d x

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\int_{0}^{1} t \cdot e^{t} d t

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\int_{0}^{\frac{3}{2}} x^{2} d x

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\int_{0}^{\frac{π}{6}} 3 sec (θ) tan (θ) d θ