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

Lösung

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

\frac{9 \cdot 3 ^{\frac{2}{3}} + 3}{5} + 4

Dezimale

8.34415 \dots

Schritte zur Lösung

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

\int_{- 1}^{3} x^{\frac{2}{3}} d x = \frac{9 \cdot 3 ^{\frac{2}{3}} + 3}{5}

\int_{- 1}^{3} 1 d x = 4

= \frac{9 \cdot 3 ^{\frac{2}{3}} + 3}{5} + 4

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