integral from-3 to 3 of ((18)/(9+x^2)-1)

Lösung

\int_{- 3}^{3} (\frac{18}{9 + x ^{2}} - 1) d x

3 π - 6

Dezimale

3.42477 \dots

Schritte zur Lösung

\int_{- 3}^{3} \frac{18}{9 + x ^{2}} - 1 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} \frac{18}{9 + x ^{2}} d x - \int_{- 3}^{3} 1 d x

\int_{- 3}^{3} \frac{18}{9 + x ^{2}} d x = 3 π

\int_{- 3}^{3} 1 d x = 6

= 3 π - 6

2 \frac{d y}{d x} + 4 y = - 8 y^{3}

\int \frac{1}{2 π} e^{\frac{- x ^{2}}{2}} d x

\int \frac{1 + t + t ^{2}}{t} d t

h \to 0 lim (\frac{h}{h})

f (x) = \frac{cos ( x )}{2 + sin ( x )}