integral from 3 to 4 of xsqrt(x-3)

Lösung

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

\frac{12}{5}

Dezimale

2.4

Schritte zur Lösung

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

Wende U-Substitution an

= \int_{0}^{1} (u + 3) u d u

Multipliziere aus

(u + 3) u : u^{\frac{3}{2}} + 3 u

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

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} u^{\frac{3}{2}} d u + \int_{0}^{1} 3 u d u

\int_{0}^{1} u^{\frac{3}{2}} d u = \frac{2}{5}

\int_{0}^{1} 3 u d u = 2

= \frac{2}{5} + 2

Vereinfache

\frac{2}{5} + 2 : \frac{12}{5}

= \frac{12}{5}

t an g e n t f (x) = \frac{1}{x + 9}, at x = - 7

\frac{\partial}{\partial x} (3 y e^{4 x y} + 8 x)

\int \frac{3}{12 x - 1} d x

f (x) = \frac{x}{e ^{x}}

\frac{\partial}{\partial x} (x^{2} - x y + 8 y^{2})