integral from 1 to 7 of 3x^2+1/(12x^2)

Lösung

\int_{1}^{7} 3 x^{2} + \frac{1}{12 x ^{2}} d x

\frac{4789}{14}

Dezimale

342.07142 \dots

Schritte zur Lösung

\int_{1}^{7} 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}^{7} 3 x^{2} d x + \int_{1}^{7} \frac{1}{12 x ^{2}} d x

\int_{1}^{7} 3 x^{2} d x = 342

\int_{1}^{7} \frac{1}{12 x ^{2}} d x = \frac{1}{14}

= 342 + \frac{1}{14}

Vereinfache

342 + \frac{1}{14} : \frac{4789}{14}

= \frac{4789}{14}

y^{^{'}} = 2 y - 1

\frac{d}{d x} (x^{\frac{4}{3}} (2 - x)^{3})

\int \frac{49 - x ^{2}}{x ^{4}} d x

\frac{d ^{3}}{d x ^{3}} (x^{6} e^{x})

t an g e n t f (x) = \frac{6 x + 5}{x - 1}, at x = 2