integral from 1 to 5 of (x^3+1/(x^3))

Lösung

\int_{1}^{5} (x^{3} + \frac{1}{x ^{3}}) d x

\frac{3912}{25}

Dezimale

156.48

Schritte zur Lösung

\int_{1}^{5} x^{3} + \frac{1}{x ^{3}} 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}^{5} x^{3} d x + \int_{1}^{5} \frac{1}{x ^{3}} d x

\int_{1}^{5} x^{3} d x = 156

\int_{1}^{5} \frac{1}{x ^{3}} d x = \frac{12}{25}

= 156 + \frac{12}{25}

Vereinfache

156 + \frac{12}{25} : \frac{3912}{25}

= \frac{3912}{25}

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