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

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

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

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

diverges

Solution steps

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

Adjust integral based on undefined pointsThere is an undefined point within the boundaries at

: 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 =

diverges

= diverges

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What is the integral from 1 to 11 of 1/((x-3)^{3/2)} ?
The integral from 1 to 11 of 1/((x-3)^{3/2)} is diverges