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Beliebt Rechnen >

integral from 1 to x of t^4

Lösung

\int_{1}^{x} t^{4} d t

Lösung

\frac{x ^{5} - 1}{5}

Schritte zur Lösung

\int_{1}^{x} t^{4} d t

Wende die Potenzregel an

= [\frac{t ^{5}}{5}]_{1}^{x}

Berechne die Grenzen:

\frac{x ^{5}}{5} - \frac{1}{5}

= \frac{x ^{5}}{5} - \frac{1}{5}

Vereinfache

= \frac{x ^{5} - 1}{5}

Beliebte Beispiele

derivative f(x)=(x^2-2)^2

d er i v a t i v e f (x) = (x^{2} - 2)^{2}

derivative of ln(3x^2+2x)

\frac{d}{d x} (ln (3 x^{2} + 2 x))

limit as x approaches 0+of csc(x)-cot(x)

x \to 0 + lim (csc (x) - cot (x))

sum from n=5 to infinity of 6/(n^2-1)

n = 5 \sum \infty \frac{6}{n ^{2} - 1}

ma c l a u r in 5^{x}