integral from 9 to 16 of (-x^{-1/2}+5)

Lösung

\int_{9}^{16} (- x^{- \frac{1}{2}} + 5) d x

33

Schritte zur Lösung

\int_{9}^{16} - x^{- \frac{1}{2}} + 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_{9}^{16} x^{- \frac{1}{2}} d x + \int_{9}^{16} 5 d x

\int_{9}^{16} x^{- \frac{1}{2}} d x = 2

\int_{9}^{16} 5 d x = 35

= - 2 + 35

Vereinfache

= 33

\int_{x}^{1} x y d y

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