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Beliebt Rechnen >

integral from 1 to t of (37)/(x^3)

Lösung

\int_{1}^{t} \frac{37}{x ^{3}} d x

Lösung

37 (- \frac{1}{2 t ^{2}} + \frac{1}{2})

Schritte zur Lösung

\int_{1}^{t} \frac{37}{x ^{3}} d x

Entferne die Konstante:

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

= 37 \cdot \int_{1}^{t} \frac{1}{x ^{3}} d x

Wende die Potenzregel an

= 37 [- \frac{1}{2 x ^{2}}]_{1}^{t}

Berechne die Grenzen:

- \frac{1}{2 t ^{2}} + \frac{1}{2}

= 37 (- \frac{1}{2 t ^{2}} + \frac{1}{2})

Beliebte Beispiele

y^{^{'}} = - x^{2} - \frac{1}{x} \cdot y

integral of 1/(sqrt(1-64x^2))

\int \frac{1}{1 - 64 x ^{2}} d x

integral of (2x+3)/(x^3+x^2-2x)

\int \frac{2 x + 3}{x ^{3} + x ^{2} - 2 x} d x

sum from n=2 to infinity of 1/n (-1)^n

n = 2 \sum \infty \frac{1}{n} (- 1)^{n}

fläche y^2=16-x,(y+2)^2=x+4

a re a y^{2} = 16 - x, (y + 2)^{2} = x + 4