integral from 0 to a of (a-x)

Lösung

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

a^{2} - \frac{a ^{2}}{2}

Schritte zur Lösung

\int_{0}^{a} a - 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_{0}^{a} a d x - \int_{0}^{a} x d x

\int_{0}^{a} a d x = a^{2}

\int_{0}^{a} x d x = \frac{a ^{2}}{2}

= a^{2} - \frac{a ^{2}}{2}

\int_{x}^{y} (2 t + 1) d t

\int_{- 5}^{1} \frac{1}{10 + 2 x} d x

\int_{- 7}^{2} - x^{2} - 3 x d x

\int_{1}^{4} (- x^{2} + 5 x - 4) d x

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