integral from-2 to 2 of 81^{x/2}

Lösung

\int_{- 2}^{2} 8 1^{\frac{x}{2}} d x

\frac{3280}{81 ln ( 3 )}

Dezimale

36.85906 \dots

Schritte zur Lösung

\int_{- 2}^{2} 8 1^{\frac{x}{2}} d x

Vereinfache

8 1^{\frac{x}{2}} : 9^{x}

= \int_{- 2}^{2} 9^{x} d x

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

= [\frac{9 ^{x}}{ln ( 9 )}]_{- 2}^{2}

Vereinfache

ln (9) : 2 ln (3)

= [\frac{9 ^{x}}{2 ln ( 3 )}]_{- 2}^{2}

Berechne die Grenzen:

\frac{3280}{81 ln ( 3 )}

= \frac{3280}{81 ln ( 3 )}

t an g e n t \frac{( x + 3 )}{( x - 3 )}

9 y^{^{''}} - y = x e^{\frac{x}{3}}, y (0) = 1, y^{^{'}} (0) = 0

\frac{\partial}{\partial y} (\frac{y}{x} + 4 x)

\int (x^{2} + x^{5}) 3 x^{6} + 2 x^{3} d x

d er i v a t i v e - 3 x^{5}