integral from 1 to 4 of 2^xx

Lösung

\int_{1}^{4} 2^{x} x d x

\frac{62 ln ( 2 ) - 14}{ln ^{2} ( 2 )}

Dezimale

60.30792 \dots

Schritte zur Lösung

\int_{1}^{4} 2^{x} x d x

Wende die partielle Integration an

= [\frac{2 ^{x} x}{ln ( 2 )} - \int \frac{2 ^{x}}{ln ( 2 )} d x]_{1}^{4}

\int \frac{2 ^{x}}{ln ( 2 )} d x = \frac{2 ^{x}}{ln ^{2} ( 2 )}

= [\frac{2 ^{x} x}{ln ( 2 )} - \frac{2 ^{x}}{ln ^{2} ( 2 )}]_{1}^{4}

Berechne die Grenzen:

\frac{62 ln ( 2 ) - 14}{ln ^{2} ( 2 )}

= \frac{62 ln ( 2 ) - 14}{ln ^{2} ( 2 )}

\int_{- 1}^{1} sin (π x) d x

\int_{2}^{3} \frac{x}{9 x ^{2} - 9} d x

\int_{0}^{40} 0.3 x d x

\int_{0}^{π} 3 x^{2} cos (\frac{x}{2}) d x

\int_{0}^{π} (9 sin (x)) d x