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Beliebt Rechnen >

integral from 0 to pi of (5e^x+3sin(x))

Lösung

\int_{0}^{π} (5 e^{x} + 3 sin (x)) d x

Lösung

5 e^{π} + 1

+1

Dezimale

116.70346 \dots

Schritte zur Lösung

\int_{0}^{π} 5 e^{x} + 3 sin (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}^{π} 5 e^{x} d x + \int_{0}^{π} 3 sin (x) d x

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

\int_{0}^{π} 3 sin (x) d x = 6

= 5 (e^{π} - 1) + 6

Vereinfache

5 (e^{π} - 1) + 6 : 5 e^{π} + 1

= 5 e^{π} + 1

Graph

Beliebte Beispiele

(\partial)/(\partial x)(3tsin^2(t))

\frac{\partial}{\partial x} (3 t sin^{2} (t))

derivative f(x)=5x-1

d er i v a t i v e f (x) = 5 x - 1

x^4y^'+3x^3y=x^2e^x

x^{4} y^{^{'}} + 3 x^{3} y = x^{2} e^{x}

derivative of (3x-9/(2x+4))

\frac{d}{d x} (\frac{3 x - 9}{2 x + 4})

integral of 1/(sqrt(16x^2+25))

\int \frac{1}{16 x ^{2} + 25} d x