integral from-5 to 5 of (6+sqrt(25-x^2))

Lösung

\int_{- 5}^{5} (6 + 25 - x^{2}) d x

60 + \frac{25 π}{2}

Dezimale

99.26990 \dots

Schritte zur Lösung

\int_{- 5}^{5} 6 + 25 - 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_{- 5}^{5} 6 d x + \int_{- 5}^{5} 25 - x^{2} d x

\int_{- 5}^{5} 6 d x = 60

\int_{- 5}^{5} 25 - x^{2} d x = \frac{25 π}{2}

= 60 + \frac{25 π}{2}

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

\int_{0}^{1} \frac{5}{( 2 x + 1 ) ^{2}} d x

\int_{- 5}^{5} 5 ∣ x ∣ - x^{2} d x

\int_{1}^{5} (6 - x) d x

\int_{- 1}^{1} 9 x^{2} d x