integral from 1 to b of 3cx^2+1

Lösung

\int_{1}^{b} 3 c x^{2} + 1 d x

c (b^{3} - 1) + b - 1

Schritte zur Lösung

\int_{1}^{b} 3 c x^{2} + 1 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}^{b} 3 c x^{2} d x + \int_{1}^{b} 1 d x

\int_{1}^{b} 3 c x^{2} d x = c (b^{3} - 1)

\int_{1}^{b} 1 d x = b - 1

= c (b^{3} - 1) + b - 1