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Beliebt Rechnen >

integral of-1/7 x+1

Lösung

\int - \frac{1}{7} x + 1 d x

Lösung

- \frac{x ^{2}}{14} + x + C

Schritte zur Lösung

\int - \frac{1}{7} x + 1 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 \frac{1}{7} x d x + \int 1 d x

\int \frac{1}{7} x d x = \frac{x ^{2}}{14}

\int 1 d x = x

= - \frac{x ^{2}}{14} + x

Füge eine Konstante zur Lösung hinzu

= - \frac{x ^{2}}{14} + x + C

Graph

Beliebte Beispiele

integral of 1/(sqrt(x^2+3/4))

\int \frac{1}{x ^{2} + \frac{3}{4}} d x

integral of-(60)/(x^2)

\int - \frac{60}{x ^{2}} d x

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\int \frac{x}{( x ^{2} - 9 ) ^{5}} d x

integral of sqrt(3x^2-1)

\int 3 x^{2} - 1 d x

integral of (7x^6+4x^3)/((x^7+x^4)^3)

\int \frac{7 x ^{6} + 4 x ^{3}}{( x ^{7} + x ^{4} ) ^{3}} d x