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

Lösung

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

\frac{1}{2}

Dezimale

0.5

Schritte zur Lösung

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

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

\int_{1}^{2} 1 d x = 1

= \frac{3}{2} - 1

Vereinfache

\frac{3}{2} - 1 : \frac{1}{2}

= \frac{1}{2}

x \to 0 lim (\frac{x}{x})

s l o p e (3, 1), (5, - 4)

\int \frac{1}{9 x ^{2} - 36 x + 37} d x

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\int \frac{ln ( x )}{x ^{7}} d x