integral of 3x^4+7/4 x^5

Lösung

\int 3 x^{4} + \frac{7}{4} x^{5} d x

\frac{3 x ^{5}}{5} + \frac{7 x ^{6}}{24} + C

Schritte zur Lösung

\int 3 x^{4} + \frac{7}{4} x^{5} 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 x^{4} d x + \int \frac{7}{4} x^{5} d x

\int 3 x^{4} d x = \frac{3 x ^{5}}{5}

\int \frac{7}{4} x^{5} d x = \frac{7 x ^{6}}{24}

= \frac{3 x ^{5}}{5} + \frac{7 x ^{6}}{24}

Füge eine Konstante zur Lösung hinzu

= \frac{3 x ^{5}}{5} + \frac{7 x ^{6}}{24} + C

d er i v a t i v e y = 2 ln (3) + \frac{1}{2} ln (x^{2} + 1)

\frac{d}{d x} (2 x (4 - x^{2})^{\frac{1}{2}})

\int se x^{2} x d x

\int k y d y

\frac{d}{d x} (\frac{3 x ^{7} - 7 x + 11}{2 x ^{3}})