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Beliebt Rechnen >

integral of 3x+cos(x)

Lösung

\int 3 x + cos (x) d x

Lösung

\frac{3 x ^{2}}{2} + sin (x) + C

Schritte zur Lösung

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

\int 3 x d x = \frac{3 x ^{2}}{2}

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

= \frac{3 x ^{2}}{2} + sin (x)

Füge eine Konstante zur Lösung hinzu

= \frac{3 x ^{2}}{2} + sin (x) + C

Graph

Beliebte Beispiele

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

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

integral of 1/((x+1)(x^2+x+1)^2)

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

integral of cos^{3/2}(x)sin^3(x)

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

integral of e^{ln(x^2+1)}

\int e^{l n (x^{2} + 1)} d x

integral of-1/(xln(x))

\int - \frac{1}{x ln ( x )} d x