integral from 8 to 11 of 4-10e^{-0.2x}

Lösung

\int_{8}^{11} 4 - 10 e^{- 0.2 x} d x

7.44533 \dots

Schritte zur Lösung

\int_{8}^{11} 4 - 10 e^{- 0.2 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_{8}^{11} 4 d x - \int_{8}^{11} 10 e^{- 0.2 x} d x

\int_{8}^{11} 4 d x = 12

\int_{8}^{11} 10 e^{- 0.2 x} d x = 4.55466 \dots

= 12 - 4.55466 \dots

Vereinfache

= 7.44533 \dots

\int_{- 3}^{4} x - x^{2} + 12 d x

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