integral of 7/(3sqrt(x))

解答

\int \frac{7}{3 x} d x

\frac{14}{3} x + C

求解步骤

\int \frac{7}{3 x} d x

提出常数:

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

= \frac{7}{3} \cdot \int \frac{1}{x} d x

使用幂法则

= \frac{7}{3} \cdot 2 x^{\frac{1}{2}}

化简

\frac{7}{3} \cdot 2 x^{\frac{1}{2}} : \frac{14}{3} x

= \frac{14}{3} x

解答补常数

= \frac{14}{3} x + C

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