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Beliebt Rechnen >

integral from 1 to 4 of t^2ln(4t)

Lösung

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

Lösung

- 7 + \frac{254}{3} ln (2)

+1

Dezimale

51.68646 \dots

Schritte zur Lösung

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

Wende die partielle Integration an

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

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

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

Berechne die Grenzen:

- 7 + \frac{254}{3} ln (2)

= - 7 + \frac{254}{3} ln (2)

Graph

Beliebte Beispiele

y^'+6y=t+e^{-4t}

y^{^{'}} + 6 y = t + e^{- 4 t}

integral of (x^4+1)/(x(x^2+1)^2)

\int \frac{x ^{4} + 1}{x ( x ^{2} + 1 ) ^{2}} d x

derivative e^{4x}

d er i v a t i v e e^{4 x}

fläche y=6x^2ln(x),y=24ln(x)

a re a y = 6 x^{2} ln (x), y = 24 ln (x)

derivative f(x)=tan(3x)

d er i v a t i v e f (x) = tan (3 x)