integral from 1 to 3 of (x^2+5)

Lösung

\int_{1}^{3} (x^{2} + 5) d x

\frac{56}{3}

Dezimale

18.66666 \dots

Schritte zur Lösung

\int_{1}^{3} x^{2} + 5 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}^{3} x^{2} d x + \int_{1}^{3} 5 d x

\int_{1}^{3} x^{2} d x = \frac{26}{3}

\int_{1}^{3} 5 d x = 10

= \frac{26}{3} + 10

Vereinfache

\frac{26}{3} + 10 : \frac{56}{3}

= \frac{56}{3}

\int_{0}^{4} x (x + 1) d x

\int_{\frac{π}{6}}^{\frac{π}{3}} \frac{1}{sin ( x )} d x

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

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

\int_{x}^{2 x} (x^{2} + y^{2}) d y