integral from-9 to 0 of (5+sqrt(81-x^2))

Lösung

\int_{- 9}^{0} (5 + 81 - x^{2}) d x

45 + \frac{81 π}{4}

Dezimale

108.61725 \dots

Schritte zur Lösung

\int_{- 9}^{0} 5 + 81 - 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_{- 9}^{0} 5 d x + \int_{- 9}^{0} 81 - x^{2} d x

\int_{- 9}^{0} 5 d x = 45

\int_{- 9}^{0} 81 - x^{2} d x = \frac{81 π}{4}

= 45 + \frac{81 π}{4}

\int_{0}^{2} \frac{1}{( x - 1 ) ^{\frac{4}{3}}} d x

\int_{0}^{\infty} 1 e^{- s t} d t

\int_{1}^{3} 4 x - x^{2} - 3 d x

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

\int_{4}^{1} 5 5 x d x