integral from 1/2 to 2 of 2x-1

Lösung

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

\frac{9}{4}

Dezimale

2.25

Schritte zur Lösung

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

\int_{\frac{1}{2}}^{2} 2 x d x = \frac{15}{4}

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

= \frac{15}{4} - \frac{3}{2}

Vereinfache

\frac{15}{4} - \frac{3}{2} : \frac{9}{4}

= \frac{9}{4}

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