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Beliebt Rechnen >

integral of cos(x)-sin(x)+3

Lösung

\int cos (x) - sin (x) + 3 d x

Lösung

sin (x) + cos (x) + 3 x + C

Schritte zur Lösung

\int cos (x) - sin (x) + 3 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 cos (x) d x - \int sin (x) d x + \int 3 d x

\int cos (x) d x = sin (x)

\int sin (x) d x = - cos (x)

\int 3 d x = 3 x

= sin (x) - (- cos (x)) + 3 x

Vereinfache

= sin (x) + cos (x) + 3 x

Füge eine Konstante zur Lösung hinzu

= sin (x) + cos (x) + 3 x + C

Graph

Beliebte Beispiele

integral of cos(pi)xcos(4pi)x

\int cos (π) x cos (4 π) x d x

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

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

integral of x/((x^2+1)(ln((x^2+1)^2)))

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

integral of (2+3x)x

\int (2 + 3 x) x d x

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

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