integral from-1 to 0 of 1-x

Lösung

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

\frac{3}{2}

Dezimale

1.5

Schritte zur Lösung

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

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

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

= 1 - (- \frac{1}{2})

Vereinfache

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

= \frac{3}{2}

\int_{0}^{\frac{π}{4}} 6 sec (x) tan (x) d x

\int_{1}^{2} (4 x^{2} + \frac{8}{x ^{2}}) d x

\int_{- 2}^{1} (4 x^{2} + 1) d x

\int_{0}^{1} (t - 1) d t

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