integral from 0 to 3 of 5x-8

Lösung

\int_{0}^{3} 5 x - 8 d x

- \frac{3}{2}

Dezimale

- 1.5

Schritte zur Lösung

\int_{0}^{3} 5 x - 8 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_{0}^{3} 5 x d x - \int_{0}^{3} 8 d x

\int_{0}^{3} 5 x d x = \frac{45}{2}

\int_{0}^{3} 8 d x = 24

= \frac{45}{2} - 24

Vereinfache

\frac{45}{2} - 24 : - \frac{3}{2}

= - \frac{3}{2}

\int_{5}^{6} x^{2} + x - 14 d x

\int_{0}^{2} x^{\frac{1}{2}} d x

\int_{- 2}^{0} - 5 e^{- 7 x + 5} d x

\int_{0}^{5} \frac{x ^{3}}{1 + x ^{2}} d x

\int_{0}^{2} x^{3} 4 - x^{2} d x