integral from 0 to 3 of (2sin(x)-e^x)

Lösung

\int_{0}^{3} (2 sin (x) - e^{x}) d x

3 - 2 cos (3) - e^{3}

Dezimale

- 15.10555 \dots

Schritte zur Lösung

\int_{0}^{3} 2 sin (x) - 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}^{3} 2 sin (x) d x - \int_{0}^{3} e^{x} d x

\int_{0}^{3} 2 sin (x) d x = 2 (- cos (3) + 1)

\int_{0}^{3} e^{x} d x = e^{3} - 1

= 2 (- cos (3) + 1) - (e^{3} - 1)

Vereinfache

2 (- cos (3) + 1) - (e^{3} - 1) : 3 - 2 cos (3) - e^{3}

= 3 - 2 cos (3) - e^{3}

n = 1 \sum \infty \frac{1}{n} \cdot (- 1)^{n}

in v erse l a pl a ce \frac{s + 2}{s ^{2} + 2 s + 5} \cdot \frac{1}{s}

\frac{d ^{2}}{d x ^{2}} (\frac{2}{x})

\int (\frac{sin ( x )}{x})^{2} d x

y^{^{''}} - 12 y^{^{'}} + 37 y = 0, y (0) = 6, y^{^{'}} (0) = 8