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Beliebt Rechnen >

integral of ye^{y^2}-y

Lösung

\int y e^{y^{2}} - y d y

Lösung

\frac{1}{2} e^{y^{2}} - \frac{y ^{2}}{2} + C

Schritte zur Lösung

\int y e^{y^{2}} - y d y

Wende die Summenregel an:

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

= \int y e^{y^{2}} d y - \int y d y

\int y e^{y^{2}} d y = \frac{1}{2} e^{y^{2}}

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

= \frac{1}{2} e^{y^{2}} - \frac{y ^{2}}{2}

Füge eine Konstante zur Lösung hinzu

= \frac{1}{2} e^{y^{2}} - \frac{y ^{2}}{2} + C

Graph

Beliebte Beispiele

integral of (sqrt(25-16^2))/x

\int \frac{25 - 1 6 ^{2}}{x} d x

integral of (2x+1)/((x+5)(x-2))

\int \frac{2 x + 1}{( x + 5 ) ( x - 2 )} d x

integral of ((1-x^2)^{3/2})/(x^2)

\int \frac{( 1 - x ^{2} ) ^{\frac{3}{2}}}{x ^{2}} d x

integral of 2/x-2/(x^2)

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

integral of (x^8-x^9)ln(x)

\int (x^{8} - x^{9}) ln (x) d x