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Beliebt Rechnen >

integral of (x+cos(x))'

Lösung

\int (x + cos (x))^{'} d x

Lösung

x (x + cos (x))' + x sin (x) + cos (x) + C

Schritte zur Lösung

\int (x + cos (x))^{'} d x

Wende die partielle Integration an

= x (x + cos (x))^{^{'}} - \int - x cos (x) d x

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

= x (x + cos (x))^{^{'}} - (- x sin (x) - cos (x))

Vereinfache

= x (x + cos (x))^{^{'}} + x sin (x) + cos (x)

Füge eine Konstante zur Lösung hinzu

= x (x + cos (x))^{^{'}} + x sin (x) + cos (x) + C

Graph

Beliebte Beispiele

integral of xsech^2(x)

\int x sech^{2} (x) d x

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integral of+sin^4(3t)cos^4(3t)

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