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Beliebt Rechnen >

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

Lösung

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

Lösung

cos (x) + sin (x) + C

Schritte zur Lösung

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

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

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

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

Vereinfache

= cos (x) + sin (x)

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

integral of 1/(sqrt(x^2+625))

\int \frac{1}{x ^{2} + 625} d x

limit as x approaches 0 of (|x|)/(x^3-5)

x \to 0 lim (\frac{∣ x ∣}{x ^{3} - 5})

tangent y=8x^2-5x^{11}

t an g e n t y = 8 x^{2} - 5 x^{11}

integral of (x-2)e^{x+3}

\int (x - 2) e^{x + 3} d x

(\partial)/(\partial x)(4x^2-y^2+2y)

\frac{\partial}{\partial x} (4 x^{2} - y^{2} + 2 y)