integral from 1 to 6 of (x^2-2x-15)

Lösung

\int_{1}^{6} (x^{2} - 2 x - 15) d x

- \frac{115}{3}

Dezimale

- 38.33333 \dots

Schritte zur Lösung

\int_{1}^{6} x^{2} - 2 x - 15 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_{1}^{6} x^{2} d x - \int_{1}^{6} 2 x d x - \int_{1}^{6} 15 d x

\int_{1}^{6} x^{2} d x = \frac{215}{3}

\int_{1}^{6} 2 x d x = 35

\int_{1}^{6} 15 d x = 75

= \frac{215}{3} - 35 - 75

Vereinfache

\frac{215}{3} - 35 - 75 : - \frac{115}{3}

= - \frac{115}{3}

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

\int_{0}^{c o s (θ)} 3 r^{2} d r

\int_{1}^{x} \frac{5 - x}{8} d x

\int_{0}^{1} \frac{1}{5 + 2 x} d x

\int_{- 2}^{0} (20 x - e^{x}) d x