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Beliebt Rechnen >

integral of-5sin(x)+5cos(x)

Lösung

\int - 5 sin (x) + 5 cos (x) d x

Lösung

5 cos (x) + 5 sin (x) + C

Schritte zur Lösung

\int - 5 sin (x) + 5 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 5 sin (x) d x + \int 5 cos (x) d x

\int 5 sin (x) d x = - 5 cos (x)

\int 5 cos (x) d x = 5 sin (x)

= - (- 5 cos (x)) + 5 sin (x)

Vereinfache

= 5 cos (x) + 5 sin (x)

Füge eine Konstante zur Lösung hinzu

= 5 cos (x) + 5 sin (x) + C

Graph

Beliebte Beispiele

integral of (5x)/((4+x^2)^6)

\int \frac{5 x}{( 4 + x ^{2} ) ^{6}} d x

integral of 3x^2(cos^2(x)+sin^2(x))

\int 3 x^{2} (cos^{2} (x) + sin^{2} (x)) d x

integral of x^5*sqrt(x^3+1)

\int x^{5} \cdot x^{3} + 1 d x

integral of-25sin(5x-pi/2)

\int - 25 sin (5 x - \frac{π}{2}) d x

integral of (x+1)cos(3x)

\int (x + 1) cos (3 x) d x