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Beliebt Rechnen >

integral from 0 to 1 of (6x^e+5e^x)

Lösung

\int_{0}^{1} (6 x^{e} + 5 e^{x}) d x

Lösung

\frac{6}{e + 1} + 5 (e - 1)

+1

Dezimale

10.20505 \dots

Schritte zur Lösung

\int_{0}^{1} 6 x^{e} + 5 e^{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_{0}^{1} 6 x^{e} d x + \int_{0}^{1} 5 e^{x} d x

\int_{0}^{1} 6 x^{e} d x = \frac{6}{e + 1}

\int_{0}^{1} 5 e^{x} d x = 5 (e - 1)

= \frac{6}{e + 1} + 5 (e - 1)

Graph

Beliebte Beispiele

integral of 3/(100+2x)

\int \frac{3}{100 + 2 x} d x

integral from 8 to 16 of xsqrt(16x-x^2)

\int_{8}^{16} x 16 x - x^{2} d x

derivative y=4-2x-x^{-3}

d er i v a t i v e y = 4 - 2 x - x^{- 3}

integral of r^2sec^2(r^3)

\int r^{2} sec^{2} (r^{3}) d r

tangent-6+250x^3-3x^5

t an g e n t - 6 + 250 x^{3} - 3 x^{5}