integral from 1 to 2 of sin(x^2)

Lösung

\int_{1}^{2} sin (x^{2}) d x

\frac{π}{2} § (\frac{2}{π} \cdot 2) - \frac{π}{2} § (\frac{2}{π} \cdot 1)

Schritte zur Lösung

\int_{1}^{2} sin (x^{2}) d x

Das ist ein nicht elementares Integral :

\int sin (x^{2}) d x = \frac{π}{2} § (\frac{2}{π} x)

= [\frac{π}{2} § (\frac{2}{π} x)]_{1}^{2}

Berechne die Grenzen:

\frac{π}{2} § (\frac{2}{π} \cdot 2) - \frac{π}{2} § (\frac{2}{π} \cdot 1)

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

\int_{10}^{y} \frac{10}{x ^{2}} d x

\int_{0}^{π} 3 x sin (2 x) d x

\int_{0}^{3} x (x^{2} - 1)^{3} d x

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

\int_{0}^{1} 1 x + 3 d x