de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral of (x^{(3/2)}+2x+1)

Lösung

\int (x^{(\frac{3}{2})} + 2 x + 1) d x

Lösung

\frac{2}{5} x^{\frac{5}{2}} + x^{2} + x + C

Schritte zur Lösung

\int x^{\frac{3}{2}} + 2 x + 1 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 x^{\frac{3}{2}} d x + \int 2 x d x + \int 1 d x

\int x^{\frac{3}{2}} d x = \frac{2}{5} x^{\frac{5}{2}}

\int 2 x d x = x^{2}

\int 1 d x = x

= \frac{2}{5} x^{\frac{5}{2}} + x^{2} + x

Füge eine Konstante zur Lösung hinzu

= \frac{2}{5} x^{\frac{5}{2}} + x^{2} + x + C

Graph

Beliebte Beispiele

integral of sin(4x)cos^2(4x)

\int sin (4 x) cos^{2} (4 x) d x

integral of (8x-13)/(x^2+2x+5)

\int \frac{8 x - 13}{x ^{2} + 2 x + 5} d x

integral of 1/(sqrt(x(4x-1)))

\int \frac{1}{x ( 4 x - 1 )} d x

integral of-6/(x^7)

\int - \frac{6}{x ^{7}} d x

integral of sec(x)sin(2x)

\int sec (x) sin (2 x) d x