integral of 9/32+9/8 x^2

Lösung

\int \frac{9}{32} + \frac{9}{8} x^{2} d x

\frac{9}{32} x + \frac{3 x ^{3}}{8} + C

Schritte zur Lösung

\int \frac{9}{32} + \frac{9}{8} x^{2} 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 \frac{9}{32} d x + \int \frac{9}{8} x^{2} d x

\int \frac{9}{32} d x = \frac{9}{32} x

\int \frac{9}{8} x^{2} d x = \frac{3 x ^{3}}{8}

= \frac{9}{32} x + \frac{3 x ^{3}}{8}

Füge eine Konstante zur Lösung hinzu

= \frac{9}{32} x + \frac{3 x ^{3}}{8} + C

\int \frac{6}{( t ^{2} + 1 ) ^{\frac{3}{2}}} d t

\frac{\partial}{\partial v} (2 u)

x \to 2 + lim (x - 3)

\int_{1}^{2} \frac{2}{x ^{2}} d x

\frac{d}{d x} (\frac{3 x - x ^{2}}{x} - 4 cot (x))