integral from 3 to 5 of (x^4-3/(x^3))

Lösung

\int_{3}^{5} (x^{4} - \frac{3}{x ^{3}}) d x

\frac{43222}{75}

Dezimale

576.29333 \dots

Schritte zur Lösung

\int_{3}^{5} x^{4} - \frac{3}{x ^{3}} 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}^{5} x^{4} d x - \int_{3}^{5} \frac{3}{x ^{3}} d x

\int_{3}^{5} x^{4} d x = \frac{2882}{5}

\int_{3}^{5} \frac{3}{x ^{3}} d x = \frac{8}{75}

= \frac{2882}{5} - \frac{8}{75}

Vereinfache

\frac{2882}{5} - \frac{8}{75} : \frac{43222}{75}

= \frac{43222}{75}

2 (ln (y)) y^{^{'}} - x^{5} y = 0

d er i v a t i v e y = cos (a^{5} + x^{5})

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

\frac{\partial}{\partial x} (2 y sin (x) + e^{2 z})

x \to 0 - lim (e^{- \frac{7}{x}})