integral from 3 to 4 of 4x^5

Lösung

\int_{3}^{4} 4 x^{5} d x

\frac{6734}{3}

Dezimale

2244.66666 \dots

Schritte zur Lösung

\int_{3}^{4} 4 x^{5} d x

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 4 \cdot \int_{3}^{4} x^{5} d x

Wende die Potenzregel an

= 4 [\frac{x ^{6}}{6}]_{3}^{4}

Berechne die Grenzen:

\frac{3367}{6}

= 4 \cdot \frac{3367}{6}

Vereinfache

= \frac{6734}{3}

\int_{1}^{4} 3 x^{3} ln (3 x^{3}) d x

\int_{0}^{1} x^{9} d x

\int_{0}^{π} 4 (4 - 3 cos (x))^{\frac{1}{3}} sin (x) d x

\int_{0}^{\frac{π}{5}} x^{2} sin (5 x) d x

\int_{0}^{\frac{5}{12}} \frac{1}{144 x ^{2} + 25} d x