integral from 0 to 1 of sqrt(x)-1

Lösung

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

- \frac{1}{3}

Dezimale

- 0.33333 \dots

Schritte zur Lösung

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

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

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

= \frac{2}{3} - 1

Vereinfache

\frac{2}{3} - 1 : - \frac{1}{3}

= - \frac{1}{3}

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

\int_{0}^{4} x^{2} - 2 y^{2} + 1 d x

\int_{1}^{x} sin (t) d t

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

\int_{0}^{\frac{π}{2}} tan (t) d t