integral from 0 to 1 of \sqrt[3]{x}-x^2

Lösung

\int_{0}^{1} 3 x - x^{2} d x

\frac{5}{12}

Dezimale

0.41666 \dots

Schritte zur Lösung

\int_{0}^{1} 3 x - 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_{0}^{1} 3 x d x - \int_{0}^{1} x^{2} d x

\int_{0}^{1} 3 x d x = \frac{3}{4}

\int_{0}^{1} x^{2} d x = \frac{1}{3}

= \frac{3}{4} - \frac{1}{3}

Vereinfache

\frac{3}{4} - \frac{1}{3} : \frac{5}{12}

= \frac{5}{12}

d er i v a t i v e 2 ln (x) + 6

\frac{\partial}{\partial x} (x y - x - y + 1)

\int \frac{1}{y ^{2} - y + 1} d y

\int_{0}^{1} 7^{2 x} d x

x \to 0 lim (\frac{cos ( 3 x ) tan ( 3 x )}{x})