integral from 0 to 3 of 8-2x

Lösung

\int_{0}^{3} 8 - 2 x d x

15

Schritte zur Lösung

\int_{0}^{3} 8 - 2 x 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} 8 d x - \int_{0}^{3} 2 x d x

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

\int_{0}^{3} 2 x d x = 9

= 24 - 9

Vereinfache

= 15

\int_{0}^{3} \frac{6 x}{1 + x ^{2}} d x

\int_{1}^{3} 10 x (x - 1)^{3} d x

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

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

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