integral from 3 to 4 of (5-x^2)-(17-7x)

Lösung

\int_{3}^{4} (5 - x^{2}) - (17 - 7 x) d x

\frac{1}{6}

Dezimale

0.16666 \dots

Schritte zur Lösung

\int_{3}^{4} 5 - x^{2} - (17 - 7 x) d x

Vereinfache

= \int_{3}^{4} - x^{2} + 7 x - 12 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_{3}^{4} x^{2} d x + \int_{3}^{4} 7 x d x - \int_{3}^{4} 12 d x

\int_{3}^{4} x^{2} d x = \frac{37}{3}

\int_{3}^{4} 7 x d x = \frac{49}{2}

\int_{3}^{4} 12 d x = 12

= - \frac{37}{3} + \frac{49}{2} - 12

Vereinfache

- \frac{37}{3} + \frac{49}{2} - 12 : \frac{1}{6}

= \frac{1}{6}

\frac{\partial}{\partial x} (x^{2} tan (x y))

\frac{d y}{d t} = y + t

\frac{d}{d y} (2 y^{2} + 3 x)

\frac{\partial}{\partial x} (\frac{53}{5 + x ^{2} + y ^{2}})

x \to 1 lim (sin (2 x))