de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral of 24x^3+1/x

Lösung

\int 24 x^{3} + \frac{1}{x} d x

Lösung

6 x^{4} + ln ∣ x ∣ + C

Schritte zur Lösung

\int 24 x^{3} + \frac{1}{x} 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 24 x^{3} d x + \int \frac{1}{x} d x

\int 24 x^{3} d x = 6 x^{4}

\int \frac{1}{x} d x = ln ∣ x ∣

= 6 x^{4} + ln ∣ x ∣

Füge eine Konstante zur Lösung hinzu

= 6 x^{4} + ln ∣ x ∣ + C

Graph

Beliebte Beispiele

integral of 1/(1+e^{15x)}

\int \frac{1}{1 + e ^{15 x}} d x

integral of 6x(ln(x^5))^2

\int 6 x (ln (x^{5}))^{2} d x

integral of (cos(θ))/(1+cos(θ))

\int \frac{cos ( θ )}{1 + cos ( θ )} d θ

integral of (x^2+x+6)/(x^3-8)

\int \frac{x ^{2} + x + 6}{x ^{3} - 8} d x

integral of sin(10x)sin(20x)

\int sin (10 x) sin (20 x) d x