integral from-1 to 1 of 1/((3+2x)^3)

Lösung

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

\frac{6}{25}

Dezimale

0.24

Schritte zur Lösung

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

Wende U-Substitution an

= \int_{1}^{5} \frac{1}{2 u ^{3}} d u

Entferne die Konstante:

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

= \frac{1}{2} \cdot \int_{1}^{5} \frac{1}{u ^{3}} d u

Wende die Potenzregel an

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

Berechne die Grenzen:

\frac{12}{25}

= \frac{1}{2} \cdot \frac{12}{25}

Vereinfache

= \frac{6}{25}

\int_{0}^{2} (2 x - 3) (4 x^{2} + 5) d x

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