integral from x to x^2 of t^4

Lösung

\int_{x}^{x^{2}} t^{4} d t

\frac{x ^{10} - x ^{5}}{5}

Schritte zur Lösung

\int_{x}^{x^{2}} t^{4} d t

Wende die Potenzregel an

= [\frac{t ^{5}}{5}]_{x}^{x^{2}}

Berechne die Grenzen:

\frac{x ^{10}}{5} - \frac{x ^{5}}{5}

= \frac{x ^{10}}{5} - \frac{x ^{5}}{5}

Vereinfache

= \frac{x ^{10} - x ^{5}}{5}

\int_{0}^{1} 2 x + 3 d x

\int_{0}^{1} (4 + 3 x^{2}) d x

\int_{- 1}^{1} x^{2} + 2 x + 1 d x

\int_{- 8}^{- 1} 1 - 3 x d x

\int_{1}^{e} \frac{2 ln ∣ x ∣}{x} d x