integral from 2 to 8 of sqrt(2x)-x+4

Lösung

\int_{2}^{8} 2 x - x + 4 d x

\frac{38}{3}

Dezimale

12.66666 \dots

Schritte zur Lösung

\int_{2}^{8} 2 x - x + 4 d x

Wende Radikal Regel an:

n ab = n a n b,

angenommen

a \geq 0, b \geq 0

= \int_{2}^{8} 2 x - x + 4 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_{2}^{8} 2 x d x - \int_{2}^{8} x d x + \int_{2}^{8} 4 d x

\int_{2}^{8} 2 x d x = \frac{56}{3}

\int_{2}^{8} x d x = 30

\int_{2}^{8} 4 d x = 24

= \frac{56}{3} - 30 + 24

Vereinfache

\frac{56}{3} - 30 + 24 : \frac{38}{3}

= \frac{38}{3}

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