integral from-3 to 0 of (5+sqrt(9-x^2))

Lösung

\int_{- 3}^{0} (5 + 9 - x^{2}) d x

15 + \frac{9 π}{4}

Dezimale

22.06858 \dots

Schritte zur Lösung

\int_{- 3}^{0} 5 + 9 - x^{2} 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}^{0} 5 d x + \int_{- 3}^{0} 9 - x^{2} d x

\int_{- 3}^{0} 5 d x = 15

\int_{- 3}^{0} 9 - x^{2} d x = \frac{9 π}{4}

= 15 + \frac{9 π}{4}

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

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

\int_{2}^{3} \frac{x}{2 - x ^{2}} d x

\int_{1}^{2} \frac{5 - x}{8} d x

\int_{- π}^{π} (x + 1)^{2} sin (x) d x