integral from 3 to 4 of x^3-pix^2

Lösung

\int_{3}^{4} x^{3} - π x^{2} d x

\frac{175}{4} - \frac{37 π}{3}

Dezimale

5.00369 \dots

Schritte zur Lösung

\int_{3}^{4} x^{3} - π x^{2} 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_{3}^{4} x^{3} d x - \int_{3}^{4} π x^{2} d x

\int_{3}^{4} x^{3} d x = \frac{175}{4}

\int_{3}^{4} π x^{2} d x = \frac{37 π}{3}

= \frac{175}{4} - \frac{37 π}{3}

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