integral from y to 1 of 3x

Lösung

\int_{y}^{1} 3 x d x

\frac{3 ( 1 - y ^{2} )}{2}

Schritte zur Lösung

\int_{y}^{1} 3 x d x

Entferne die Konstante:

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

= 3 \cdot \int_{y}^{1} x d x

Wende die Potenzregel an

= 3 [\frac{x ^{2}}{2}]_{y}^{1}

Berechne die Grenzen:

\frac{1}{2} - \frac{y ^{2}}{2}

= 3 (\frac{1}{2} - \frac{y ^{2}}{2})

Vereinfache

= \frac{3 ( 1 - y ^{2} )}{2}

d er i v a t i v e f (4 k) = x^{2} - 2 x

\frac{d}{d x} (ln (x^{2} + y^{2} + z^{2}))

\frac{d}{d x} (lo g_{10} (x^{2} + y))

\frac{\partial}{\partial x} (- 2 e^{- x^{2} - y^{2}} x cos (x y) - e^{- x^{2} - y^{2}} y sin (x y))

\frac{\partial}{\partial x} (\frac{1}{x y} (x^{2} y^{2} + y + x))