integral from 1 to 11 of 1/((x-3)^{3/2)}

解答

\int_{1}^{11} \frac{1}{( x - 3 ) ^{\frac{3}{2}}} d x

发散

求解步骤

\int_{1}^{11} \frac{1}{( x - 3 ) ^{\frac{3}{2}}} d x

根据未定义的点调整积分在积分范围内有个未定义的点

: 3

= \int_{1}^{3} \frac{1}{( x - 3 ) ^{\frac{3}{2}}} d x + \int_{3}^{11} \frac{1}{( x - 3 ) ^{\frac{3}{2}}} d x

\int_{3}^{11} \frac{1}{( x - 3 ) ^{\frac{3}{2}}} d x =

发散

= 发散

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