integral from 0 to 2 of (e^x-1)

Lösung

\int_{0}^{2} (e^{x} - 1) d x

e^{2} - 3

Dezimale

4.38905 \dots

Schritte zur Lösung

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

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

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

= e^{2} - 1 - 2

Vereinfache

= e^{2} - 3

\int_{0}^{\frac{π}{4}} 8 sin (x) d x

\int_{0}^{\frac{π}{2}} y sin (x) d x

\int_{2 y^{2} - 2}^{y^{2} + y} y d y

\int_{- 5}^{10} 25 - x^{2} d x

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