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Beliebt Rechnen >

integral from 1 to 2 of 7/(x^2)

Lösung

\int_{1}^{2} \frac{7}{x ^{2}} d x

Lösung

\frac{7}{2}

+1

Dezimale

3.5

Schritte zur Lösung

\int_{1}^{2} \frac{7}{x ^{2}} d x

Entferne die Konstante:

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

= 7 \cdot \int_{1}^{2} \frac{1}{x ^{2}} d x

Wende die Potenzregel an

= 7 [- \frac{1}{x}]_{1}^{2}

Berechne die Grenzen:

\frac{1}{2}

= 7 \cdot \frac{1}{2}

Vereinfache

= \frac{7}{2}

Graph

Beliebte Beispiele

(dy)/(dx)=3x^{-2}e^{-y}

\frac{d y}{d x} = 3 x^{- 2} e^{- y}

integral of ((x^2+9x+1))/((x^2+1)^2)

\int \frac{( x ^{2} + 9 x + 1 )}{( x ^{2} + 1 ) ^{2}} d x

x^2y^{''}+4xy^'-4y=0,y(1)=0,y^'(1)=3

x^{2} y^{^{''}} + 4 x y^{^{'}} - 4 y = 0, y (1) = 0, y^{^{'}} (1) = 3

integral of (225)/(x^3-15x^2)

\int \frac{225}{x ^{3} - 15 x ^{2}} d x

integral of (x^2+17)/x

\int \frac{x ^{2} + 17}{x} d x