integral from 4 to 5 of 2/((x-3)^3)

Lösung

\int_{4}^{5} \frac{2}{( x - 3 ) ^{3}} d x

\frac{3}{4}

Dezimale

0.75

Schritte zur Lösung

\int_{4}^{5} \frac{2}{( x - 3 ) ^{3}} d x

Entferne die Konstante:

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

= 2 \cdot \int_{4}^{5} \frac{1}{( x - 3 ) ^{3}} d x

Wende U-Substitution an

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

Wende die Potenzregel an

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

Berechne die Grenzen:

\frac{3}{8}

= 2 \cdot \frac{3}{8}

Vereinfache

= \frac{3}{4}

\int_{4}^{5} \frac{1}{3 x ^{2} - 3} d x

\int_{0}^{t} x e^{- 4 x} d x

\int_{- 2}^{2} x^{2} + 4 d x

\int_{2}^{5} \frac{1}{( x - 2 ) ^{1}} d x

\int_{0}^{\frac{1}{9}} arccos (9 x) d x