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Beliebt Rechnen >

integral from-1 to 1 of (e^y-(y^2-3))

Lösung

\int_{- 1}^{1} (e^{y} - (y^{2} - 3)) d y

Lösung

e - \frac{1}{e} + \frac{16}{3}

+1

Dezimale

7.68373 \dots

Schritte zur Lösung

\int_{- 1}^{1} e^{y} - (y^{2} - 3) d y

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{- 1}^{1} e^{y} d y - \int_{- 1}^{1} y^{2} - 3 d y

\int_{- 1}^{1} e^{y} d y = e - \frac{1}{e}

\int_{- 1}^{1} y^{2} - 3 d y = - \frac{16}{3}

= e - \frac{1}{e} - (- \frac{16}{3})

Vereinfache

= e - \frac{1}{e} + \frac{16}{3}

Graph

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