integral from 3 to 7 of (8x+5)

Lösung

\int_{3}^{7} (8 x + 5) d x

180

Schritte zur Lösung

\int_{3}^{7} 8 x + 5 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_{3}^{7} 8 x d x + \int_{3}^{7} 5 d x

\int_{3}^{7} 8 x d x = 160

\int_{3}^{7} 5 d x = 20

= 160 + 20

Vereinfache

= 180

\int_{a}^{7 a} \frac{1}{x} d x

\int_{0}^{u} \frac{t}{t + 1} d t

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\int_{1}^{e} \frac{ln ( x ^{4} )}{x} d x