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Beliebt Rechnen >

integral of 2x+sin(x)+C

Lösung

\int 2 x + sin (x) + C d x

Lösung

x^{2} - cos (x) + C x + C

Schritte zur Lösung

\int 2 x + sin (x) + C 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 2 x d x + \int sin (x) d x + \int C d x

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

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

\int C d x = C x

= x^{2} - cos (x) + C x

Füge eine Konstante zur Lösung hinzu

= x^{2} - cos (x) + C x + C

Graph

Beliebte Beispiele

integral of 3/((x+1)(x-2))

\int \frac{3}{( x + 1 ) ( x - 2 )} d x

integral of (x^4+x)/(sqrt(x))

\int \frac{x ^{4} + x}{x} d x

integral of (sin(1/(x^5)))/(x^6)

\int \frac{sin ( \frac{1}{x ^{5}} )}{x ^{6}} d x

integral of xsqrt(2+x^2)

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

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

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