integral of x+1sqrt(x)

Lösung

\int x + 1 x d x

\frac{x ^{2}}{2} + \frac{2}{3} x^{\frac{3}{2}} + C

Schritte zur Lösung

\int x + 1 \cdot x d x

Vereinfache

= \int x + 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 x d x + \int x d x

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

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

= \frac{x ^{2}}{2} + \frac{2}{3} x^{\frac{3}{2}}

Füge eine Konstante zur Lösung hinzu

= \frac{x ^{2}}{2} + \frac{2}{3} x^{\frac{3}{2}} + C

\int \frac{sin ( 2 x )}{18 + cos ^{2} ( x )} d x

y^{^{'}} + 3 y + 5 = 0

\int e^{x - 3} d x

\frac{d}{d x} (sin^{4} (2 x co) s^{4} 3 x)

p a r i t y f (x) = x^{t a n (x)}