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Beliebt Rechnen >

integral of 2^x+8sinh(x)

Lösung

\int 2^{x} + 8 sinh (x) d x

Lösung

\frac{2 ^{x}}{ln ( 2 )} + 8 cosh (x) + C

Schritte zur Lösung

\int 2^{x} + 8 sinh (x) d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 2^{x} d x + \int 8 sinh (x) d x

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

\int 8 sinh (x) d x = 8 cosh (x)

= \frac{2 ^{x}}{ln ( 2 )} + 8 cosh (x)

Füge eine Konstante zur Lösung hinzu

= \frac{2 ^{x}}{ln ( 2 )} + 8 cosh (x) + C

Graph

Beliebte Beispiele

integral of x/(sqrt(x^4+36))

\int \frac{x}{x ^{4} + 36} d x

integral of (25)/(x^3-27)

\int \frac{25}{x ^{3} - 27} d x

sum from n=1 to infinity of ((n^3))/(3^{n^2)}

n = 1 \sum \infty \frac{( n ^{3} )}{3 ^{n^{2}}}

y^{''}-4y^'+7y=te^t

y^{^{''}} - 4 y^{^{'}} + 7 y = t e^{t}

f(x)=(2xln(x)+x^2-1)/(x-1)

f (x) = \frac{2 x ln ( x ) + x ^{2} - 1}{x - 1}