integral from 0 to log_{3 of (4)}3^x

Lösung

\int_{0}^{l o g_{3} (4)} 3^{x} d x

\frac{3}{ln ( 3 )}

Dezimale

2.73071 \dots

Schritte zur Lösung

\int_{0}^{l o g_{3} (4)} 3^{x} d x

\int a^{x} d x = \frac{a ^{x}}{ln a}

= [\frac{3 ^{x}}{ln ( 3 )}]_{0}^{l o g_{3} (4)}

Vereinfache

lo g_{3} (4) : 2 lo g_{3} (2)

= [\frac{3 ^{x}}{ln ( 3 )}]_{0}^{2 l o g_{3} (2)}

Berechne die Grenzen:

\frac{3}{ln ( 3 )}

= \frac{3}{ln ( 3 )}

\int_{0}^{3} \frac{1}{6 v - v ^{2}} d v

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

\int_{0}^{1} (y) d y

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