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Beliebt Rechnen >

integral from 1 to 8 of 3x^2+1/(12x^2)

Lösung

\int_{1}^{8} 3 x^{2} + \frac{1}{12 x ^{2}} d x

Lösung

\frac{49063}{96}

+1

Dezimale

511.07291 \dots

Schritte zur Lösung

\int_{1}^{8} 3 x^{2} + \frac{1}{12 x ^{2}} d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{1}^{8} 3 x^{2} d x + \int_{1}^{8} \frac{1}{12 x ^{2}} d x

\int_{1}^{8} 3 x^{2} d x = 511

\int_{1}^{8} \frac{1}{12 x ^{2}} d x = \frac{7}{96}

= 511 + \frac{7}{96}

Vereinfache

511 + \frac{7}{96} : \frac{49063}{96}

= \frac{49063}{96}

Graph

Beliebte Beispiele

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

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

derivative (x^3-4)/(x^2+2)

d er i v a t i v e \frac{x ^{3} - 4}{x ^{2} + 2}

derivative f(t)= 1/t

d er i v a t i v e f (t) = \frac{1}{t}

derivative x^2+5x

d er i v a t i v e x^{2} + 5 x

x ln (2 x) y^{^{'}} - y = 0