integral from 1 to 5 of (3x-5)^4

Lösung

\int_{1}^{5} (3 x - 5)^{4} d x

\frac{33344}{5}

Dezimale

6668.8

Schritte zur Lösung

\int_{1}^{5} (3 x - 5)^{4} d x

Wende U-Substitution an

= \int_{- 2}^{10} \frac{u ^{4}}{3} d u

Entferne die Konstante:

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

= \frac{1}{3} \cdot \int_{- 2}^{10} u^{4} d u

Wende die Potenzregel an

= \frac{1}{3} [\frac{u ^{5}}{5}]_{- 2}^{10}

Berechne die Grenzen:

\frac{100032}{5}

= \frac{1}{3} \cdot \frac{100032}{5}

Vereinfache

= \frac{33344}{5}

\int_{0}^{1} e^{- s x} x d x

\int_{- π}^{0} (t - π) cos (n t) d t

\int_{0}^{π} 1 - sin (x) d x

\int_{- 1}^{3} (x^{2} - 1)^{2} d x

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