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Beliebt Rechnen >

integral of xcos(x)+sin(x)

Lösung

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

Lösung

x sin (x) + C

Schritte zur Lösung

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

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

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

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

Vereinfache

= x sin (x)

Füge eine Konstante zur Lösung hinzu

= x sin (x) + C

Graph

Beliebte Beispiele

integral of (5x+cos(x))

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

integral of x/((a+bx)^2)

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

integral of x^3(1-4x^2)^{5/2}

\int x^{3} (1 - 4 x^{2})^{\frac{5}{2}} d x

integral of 1/(x(x^{12)+1)^2}

\int \frac{1}{x ( x ^{12} + 1 ) ^{2}} d x

integral of xln(1-x)

\int x ln (1 - x) d x