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Beliebt Rechnen >

integral of rivative of cos(x)

Lösung

\int \frac{d}{d x} (cos (x)) d x

Lösung

x \frac{d}{d x} (cos (x)) + x sin (x) + cos (x) + C

Schritte zur Lösung

\int \frac{d}{d x} (cos (x)) d x

Wende die partielle Integration an

= x \frac{d}{d x} (cos (x)) - \int - x cos (x) d x

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

= x \frac{d}{d x} (cos (x)) - (- x sin (x) - cos (x))

Vereinfache

= x \frac{d}{d x} (cos (x)) + x sin (x) + cos (x)

Füge eine Konstante zur Lösung hinzu

= x \frac{d}{d x} (cos (x)) + x sin (x) + cos (x) + C

Graph

Beliebte Beispiele

integral of (a^{arccot(x)}+ax) 1/(1+x^2)

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

integral of 10x^9-12x^3-5

\int 10 x^{9} - 12 x^{3} - 5 d x

integral of (5+\sqrt[3]{x})/x

\int \frac{5 + 3 x}{x} d x

integral of 7x(3x^2-2)^6

\int 7 x (3 x^{2} - 2)^{6} d x

integral of 1/((3x+1)^3)

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