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Beliebt Rechnen >

integral of 1+sin(x^2)

Lösung

\int 1 + sin (x^{2}) d x

Lösung

x + \frac{π}{2} § (\frac{2}{π} x) + C

Schritte zur Lösung

\int 1 + sin (x^{2}) d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 1 d x + \int sin (x^{2}) d x

\int 1 d x = x

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

= x + \frac{π}{2} § (\frac{2}{π} x)

Füge eine Konstante zur Lösung hinzu

= x + \frac{π}{2} § (\frac{2}{π} x) + C

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integral of sqrt(y/2)

\int \frac{y}{2} d y

integral of 15sin(3x)

\int 15 sin (3 x) d x

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\int (2 x - 9) d x

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\int csc^{2} (x) cos (x) d x

integral of x^4(x^5+3)^{104}

\int x^{4} (x^{5} + 3)^{104} d x