integral of (3/(x^3))

解答

\int (\frac{3}{x ^{3}}) d x

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

求解步骤

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

提出常数:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 3 \cdot \int \frac{1}{x ^{3}} d x

使用幂法则

= 3 (- \frac{1}{2 x ^{2}})

化简

3 (- \frac{1}{2 x ^{2}}) : - \frac{3}{2 x ^{2}}

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

解答补常数

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

\frac{d}{d t} (e^{i t})

\frac{d x}{d t} = sin (2 π (t + 3))

in v erse l a pl a ce 1

\int (517 - \frac{x ^{3}}{7})^{5} x^{2} d x

n = 3 \sum \infty \frac{1}{3} (\frac{2}{5})^{n}