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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

sin(y)csc(x)((dy)/(dx))=1

sin (y) csc (x) (\frac{d y}{d x}) = 1

tangent f(x)=x^2-8x+9,\at x=3

t an g e n t f (x) = x^{2} - 8 x + 9, at x = 3

integral from 0 to 1 of 2/(1+t^2)

\int_{0}^{1} \frac{2}{1 + t ^{2}} d t

integral of (12)/(1-cos(4x))

\int \frac{12}{1 - cos ( 4 x )} d x

sum from n=0 to infinity of 1/6

n = 0 \sum \infty \frac{1}{6}