integral from-3 to 3 of sinh(x)+cosh(x)

Lösung

\int_{- 3}^{3} sinh (x) + cosh (x) d x

\frac{e ^{6} - 1}{e ^{3}}

Dezimale

20.03574 \dots

Schritte zur Lösung

\int_{- 3}^{3} sinh (x) + cosh (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_{- 3}^{3} sinh (x) d x + \int_{- 3}^{3} cosh (x) d x

\int_{- 3}^{3} sinh (x) d x = 0

\int_{- 3}^{3} cosh (x) d x = \frac{e ^{6} - 1}{e ^{3}}

= 0 + \frac{e ^{6} - 1}{e ^{3}}

Vereinfache

= \frac{e ^{6} - 1}{e ^{3}}

\int_{- 2}^{1} 2 x^{2} + 2 x - 4 d x

\int_{1}^{3} r^{2} d r

\int_{- 2}^{2} ∣ x ∣ - (6 - x^{2}) d x

\int_{0}^{1} 9 x^{8} (2 - x^{9}) d x

\int_{2}^{3} x^{4} + 4 x - 6 d x