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Beliebt Rechnen >

integral from-3 to 2 of 10^xln(10)

Lösung

\int_{- 3}^{2} 1 0^{x} ln (10) d x

Lösung

\frac{99999}{1000}

+1

Dezimale

99.999

Schritte zur Lösung

\int_{- 3}^{2} 1 0^{x} ln (10) d x

Entferne die Konstante:

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

= ln (10) \cdot \int_{- 3}^{2} 1 0^{x} d x

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

= ln (10) [\frac{1 0 ^{x}}{ln ( 10 )}]_{- 3}^{2}

Berechne die Grenzen:

\frac{99999}{1000 ln ( 10 )}

= ln (10) \frac{99999}{1000 ln ( 10 )}

Vereinfache

= \frac{99999}{1000}

Graph

Beliebte Beispiele

integral of x^{(-2)/3}

\int x^{\frac{- 2}{3}} d x

integral of (x^5)/(sqrt(1-x^{12))}

\int \frac{x ^{5}}{1 - x ^{12}} d x

limit as x approaches 8 of ((x^{1/3}-2))/(x-8)

x \to 8 lim \frac{( x ^{\frac{1}{3}} - 2 )}{x - 8}

integral of 1/(y^6)

\int \frac{1}{y ^{6}} d y

f(t)=(\sqrt[4]{t})/3

f (t) = \frac{4 t}{3}