integral from-2 to 3 of 2x^2+5

Lösung

\int_{- 2}^{3} 2 x^{2} + 5 d x

\frac{145}{3}

Dezimale

48.33333 \dots

Schritte zur Lösung

\int_{- 2}^{3} 2 x^{2} + 5 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_{- 2}^{3} 2 x^{2} d x + \int_{- 2}^{3} 5 d x

\int_{- 2}^{3} 2 x^{2} d x = \frac{70}{3}

\int_{- 2}^{3} 5 d x = 25

= \frac{70}{3} + 25

Vereinfache

\frac{70}{3} + 25 : \frac{145}{3}

= \frac{145}{3}

x \to - 7 lim (\frac{1}{x + 7})

x \to - 3 lim (\frac{1}{x - 1})

s l o p e (- 2, 3), (2, - 2)

x \to 1 - lim (\frac{9}{x ^{3} - 1})

y^{^{'}} = \frac{( x ^{2} + y ^{2} )}{2 x y}