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Beliebt Rechnen >

integral from 1 to t of (13)/(x^3)

Lösung

\int_{1}^{t} \frac{13}{x ^{3}} d x

Lösung

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

Schritte zur Lösung

\int_{1}^{t} \frac{13}{x ^{3}} d x

Entferne die Konstante:

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

= 13 \cdot \int_{1}^{t} \frac{1}{x ^{3}} d x

Wende die Potenzregel an

= 13 [- \frac{1}{2 x ^{2}}]_{1}^{t}

Berechne die Grenzen:

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

= 13 (- \frac{1}{2 t ^{2}} + \frac{1}{2})

Beliebte Beispiele

integral of x/((1+x^2)^3)

\int \frac{x}{( 1 + x ^{2} ) ^{3}} d x

integral from-1 to 0 of x^{1/3}-x^{2/3}

\int_{- 1}^{0} x^{\frac{1}{3}} - x^{\frac{2}{3}} d x

integral of (2x)/((x^2+y^2)^2)

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

tangent 2x^2+10x+9

t an g e n t 2 x^{2} + 10 x + 9

derivative of cos(x-7x)

\frac{d}{d x} (cos (x) - 7 x)