integral from 0 to x of (x-2y)

Lösung

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

0

Schritte zur Lösung

\int_{0}^{x} x - 2 y d y

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}^{x} x d y - \int_{0}^{x} 2 y d y

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

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

= x^{2} - x^{2}

Vereinfache

= 0

\int_{1}^{7} \frac{6}{x} d x

\int_{0}^{1} x^{3} cos (x) d x

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\int_{0}^{4} ∣ 3 x - 7 ∣ d x