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Beliebt Rechnen >

integral from 1/3 to 5 of sqrt(1+36x)

Lösung

\int_{\frac{1}{3}}^{5} 1 + 36 x d x

Lösung

\frac{181 181 - 13 13}{54}

+1

Dezimale

44.22655 \dots

Schritte zur Lösung

\int_{\frac{1}{3}}^{5} 1 + 36 x d x

Wende U-Substitution an

= \int_{13}^{181} \frac{u}{36} d u

Entferne die Konstante:

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

= \frac{1}{36} \cdot \int_{13}^{181} u d u

Wende die Potenzregel an

= \frac{1}{36} [\frac{2}{3} u^{\frac{3}{2}}]_{13}^{181}

Berechne die Grenzen:

\frac{362 181 - 26 13}{3}

= \frac{1}{36} \cdot \frac{362 181 - 26 13}{3}

Vereinfache

= \frac{181 181 - 13 13}{54}

Graph

Beliebte Beispiele

integral from 2 to 3 of xsqrt(x^2-4)

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

integral from 0 to 1 of-x^3

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

integral from-2 to-1 of 1

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

integral from-4 to 4 of |x-2|

\int_{- 4}^{4} ∣ x - 2 ∣ d x

integral from-2 to 1 of-x+2-x^2

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