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Beliebt Rechnen >

integral from 1 to 4 of 1/(x^2)-8/(x^3)

Lösung

\int_{1}^{4} \frac{1}{x ^{2}} - \frac{8}{x ^{3}} d x

Lösung

- 3

Schritte zur Lösung

\int_{1}^{4} \frac{1}{x ^{2}} - \frac{8}{x ^{3}} 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_{1}^{4} \frac{1}{x ^{2}} d x - \int_{1}^{4} \frac{8}{x ^{3}} d x

\int_{1}^{4} \frac{1}{x ^{2}} d x = \frac{3}{4}

\int_{1}^{4} \frac{8}{x ^{3}} d x = \frac{15}{4}

= \frac{3}{4} - \frac{15}{4}

Vereinfache

\frac{3}{4} - \frac{15}{4} : - 3

= - 3

Graph

Beliebte Beispiele

x^{^{'}} = x^{3}

maclaurin 1/(1+cos^2(x))

ma c l a u r in \frac{1}{1 + cos ^{2} ( x )}

integral of 4x^3+24x-1

\int 4 x^{3} + 24 x - 1 d x

limit as x approaches 3 of (3-|x|)/(x+3)

x \to 3 lim (\frac{3 - ∣ x ∣}{x + 3})

y^{''}+2ky^'+ak^2y=0

y^{^{''}} + 2 k y^{^{'}} + a k^{2} y = 0