integral from 1 to 4 of 3sqrt(x-1)

Lösung

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

63

Dezimale

10.39230 \dots

Schritte zur Lösung

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

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 3 \cdot \int_{1}^{4} x - 1 d x

Wende U-Substitution an

= 3 \cdot \int_{0}^{3} u d u

Wende die Potenzregel an

= 3 [\frac{2}{3} u^{\frac{3}{2}}]_{0}^{3}

Berechne die Grenzen:

23

= 3 \cdot 23

Vereinfache

= 63

\int_{1}^{3} 12 sin (6 x - 5) d x

\int_{1}^{\infty} \frac{2}{x ^{5}} d x

\int_{0}^{2 π} sin^{2} (\frac{1}{3} θ) d θ

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

\int_{0}^{\frac{π}{3}} \frac{1}{1 - sin ( x )} d x