integral from 7 to 10 of (x/2-3)

Lösung

\int_{7}^{10} (\frac{x}{2} - 3) d x

\frac{15}{4}

Dezimale

3.75

Schritte zur Lösung

\int_{7}^{10} \frac{x}{2} - 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_{7}^{10} \frac{x}{2} d x - \int_{7}^{10} 3 d x

\int_{7}^{10} \frac{x}{2} d x = \frac{51}{4}

\int_{7}^{10} 3 d x = 9

= \frac{51}{4} - 9

Vereinfache

\frac{51}{4} - 9 : \frac{15}{4}

= \frac{15}{4}

\int_{1}^{4} \frac{1}{4 - x} d x

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\int_{0}^{1} \frac{13}{4} + \frac{9}{4} x d x

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

\int_{3}^{x} (t^{2} + 1) d t