de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral from 1 to 4 of sqrt(t)ln(t/2)

Lösung

\int_{1}^{4} t ln (\frac{t}{2}) d t

Lösung

6 ln (2) - \frac{28}{9}

+1

Dezimale

1.04777 \dots

Schritte zur Lösung

\int_{1}^{4} t ln (\frac{t}{2}) d t

Wende die partielle Integration an

= [\frac{2}{3} t^{\frac{3}{2}} ln (\frac{t}{2}) - \int \frac{2}{3} t^{\frac{1}{2}} d t]_{1}^{4}

\int \frac{2}{3} t^{\frac{1}{2}} d t = \frac{4}{9} t^{\frac{3}{2}}

= [\frac{2}{3} t^{\frac{3}{2}} ln (\frac{t}{2}) - \frac{4}{9} t^{\frac{3}{2}}]_{1}^{4}

Berechne die Grenzen:

6 ln (2) - \frac{28}{9}

= 6 ln (2) - \frac{28}{9}

Graph

Beliebte Beispiele

integral of (4x)/(sqrt(1-16x^4))

\int \frac{4 x}{1 - 16 x ^{4}} d x

normal y= x/a+a/x ,\at x= a/2

n or ma l y = \frac{x}{a} + \frac{a}{x}, at x = \frac{a}{2}

limit as x approaches 5 of [x]

x \to 5 lim ([x])

tangent f(x)=x^2+8,(-3,17)

t an g e n t f (x) = x^{2} + 8, (- 3, 17)

limit as x approaches-2 of 4x

x \to - 2 lim (4 x)