integral from 0 to 1 of 5^{4x}

Lösung

\int_{0}^{1} 5^{4 x} d x

\frac{156}{ln ( 5 )}

Dezimale

96.92824 \dots

Schritte zur Lösung

\int_{0}^{1} 5^{4 x} d x

Vereinfache

5^{4 x} : 62 5^{x}

= \int_{0}^{1} 62 5^{x} d x

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

= [\frac{62 5 ^{x}}{ln ( 625 )}]_{0}^{1}

Vereinfache

ln (625) : 4 ln (5)

= [\frac{62 5 ^{x}}{4 ln ( 5 )}]_{0}^{1}

Berechne die Grenzen:

\frac{156}{ln ( 5 )}

= \frac{156}{ln ( 5 )}

\frac{\partial}{\partial x} (y sin (2 x))

x y y^{^{'}} = 2 y^{2} + 4 x^{2}

x \to x lim (tan (x))

in v erse l a pl a ce \frac{4}{( s - 4 ) ^{3}}

\frac{\partial}{\partial x} (3 cos (2 x))