integral from 0 to 4 of x/8

Lösung

\int_{0}^{4} \frac{x}{8} d x

1

Schritte zur Lösung

\int_{0}^{4} \frac{x}{8} d x

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= \frac{1}{8} \cdot \int_{0}^{4} x d x

Wende die Potenzregel an

= \frac{1}{8} [\frac{x ^{2}}{2}]_{0}^{4}

Berechne die Grenzen:

8

= \frac{1}{8} \cdot 8

Vereinfache

= 1

t an g e n t f (x) = e^{x} - x e^{x}, at x = 0

x \to - 11 lim (x^{2} + 11)

x \to 0 lim (arctan (e^{x}))

\int_{2}^{3} \frac{1}{( x + 1 ) ln ( x + 1 )} d x

\int \frac{csc ^{2} ( x )}{cot ^{4} ( x )} d x