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Beliebt Rechnen >

integral of e^{2y}-ycos(x)y

Lösung

\int e^{2 y} - y cos (x) y d x

Lösung

e^{2 y} x - y^{2} sin (x) + C

Schritte zur Lösung

\int e^{2 y} - y cos (x) y 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 e^{2 y} d x - \int cos (x) yy d x

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

\int cos (x) yy d x = y^{2} sin (x)

= e^{2 y} x - y^{2} sin (x)

Füge eine Konstante zur Lösung hinzu

= e^{2 y} x - y^{2} sin (x) + C

Graph

Beliebte Beispiele

integral of 8x^5+3x^3-x^2+1

\int 8 x^{5} + 3 x^{3} - x^{2} + 1 d x

integral of 1/(x^2+1)-e^{-4x}

\int \frac{1}{x ^{2} + 1} - e^{- 4 x} d x

integral of (x^2+8)/(x^3)

\int \frac{x ^{2} + 8}{x ^{3}} d x

integral of (3x-2)/(x^2+3x-4)

\int \frac{3 x - 2}{x ^{2} + 3 x - 4} d x

integral of 1/((x^3))

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