integral from-1 to 0 of (3+sqrt(1-x^2))

Lösung

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

3 + \frac{π}{4}

Dezimale

3.78539 \dots

Schritte zur Lösung

\int_{- 1}^{0} 3 + 1 - 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_{- 1}^{0} 3 d x + \int_{- 1}^{0} 1 - x^{2} d x

\int_{- 1}^{0} 3 d x = 3

\int_{- 1}^{0} 1 - x^{2} d x = \frac{π}{4}

= 3 + \frac{π}{4}

\int_{0}^{4} e^{0.5 x} d x

\int_{0}^{\frac{π}{4}} 1 + sin^{2} (x) d x

\int_{- 1}^{3} \frac{3}{6 - 2 x} d x

\int_{1}^{9} x^{3} d x

\int_{1}^{9} \frac{1}{5 x + 4} d x