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Beliebt Rechnen >

integral of 9cos(x)-4sin(x)

Lösung

\int 9 cos (x) - 4 sin (x) d x

Lösung

9 sin (x) + 4 cos (x) + C

Schritte zur Lösung

\int 9 cos (x) - 4 sin (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 9 cos (x) d x - \int 4 sin (x) d x

\int 9 cos (x) d x = 9 sin (x)

\int 4 sin (x) d x = - 4 cos (x)

= 9 sin (x) - (- 4 cos (x))

Vereinfache

= 9 sin (x) + 4 cos (x)

Füge eine Konstante zur Lösung hinzu

= 9 sin (x) + 4 cos (x) + C

Graph

Beliebte Beispiele

integral of (9x^2-9x+2)

\int (9 x^{2} - 9 x + 2) d x

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

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\int 8 (5^{x}) d x

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

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

integral of sec(t)(6sec(t)+5tan(t))

\int sec (t) (6 sec (t) + 5 tan (t)) d t