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_{1}^{2} x^{2} ln (x^{4}) d x

\int_{0.3}^{2.3} 7 x e^{- 4 x} d x

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

\int_{- 5}^{5} (- 0.4 x^{2} + 10) d x

\int_{2 x}^{2} e^{y^{2}} d y