integral from 0 to 2 of 3^x-4

Lösung

\int_{0}^{2} 3^{x} - 4 d x

\frac{8}{ln ( 3 )} - 8

Dezimale

- 0.71808 \dots

Schritte zur Lösung

\int_{0}^{2} 3^{x} - 4 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_{0}^{2} 3^{x} d x - \int_{0}^{2} 4 d x

\int_{0}^{2} 3^{x} d x = \frac{8}{ln ( 3 )}

\int_{0}^{2} 4 d x = 8

= \frac{8}{ln ( 3 )} - 8

\int_{0}^{x} x^{2} + \frac{2}{y ^{2}} d y

\int_{1}^{3} (\frac{15}{26} x^{2} - 2) d x

\int_{0}^{l n (2)} 2 e^{3 x} d x

\int_{- 1}^{1} e^{- x^{2}} sin (x) d x

\int_{0}^{4} 2 x y d y