integral from-1 to 0 of x^{1/3}-x

Lösung

\int_{- 1}^{0} x^{\frac{1}{3}} - x d x

- \frac{1}{4}

Dezimale

- 0.25

Schritte zur Lösung

\int_{- 1}^{0} x^{\frac{1}{3}} - x 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}^{0} x^{\frac{1}{3}} d x - \int_{- 1}^{0} x d x

\int_{- 1}^{0} x^{\frac{1}{3}} d x = \frac{3 ( - 1 ) ^{\frac{1}{3}}}{4}

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

= \frac{3 ( - 1 ) ^{\frac{1}{3}}}{4} - (- \frac{1}{2})

Vereinfache

\frac{3 ( - 1 ) ^{\frac{1}{3}}}{4} - (- \frac{1}{2}) : - \frac{1}{4}

= - \frac{1}{4}

\int_{0}^{t} sin^{2} (x) d x

\int_{- 6}^{6} x^{2} d x

\int_{1}^{2} \frac{x ^{3} + 1}{x} d x

\int_{0}^{2} \frac{1}{x ^{3} + 1} d x

\int_{2}^{4} \frac{x}{2} d x