What is the integral from 2 to 5 of 1/(sqrt(x-1)) ?

The integral from 2 to 5 of 1/(sqrt(x-1)) is 2

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integral from 2 to 5 of 1/(sqrt(x-1))

\int_{2}^{5} \frac{1}{x - 1} d x

2

Solution steps

\int_{2}^{5} \frac{1}{x - 1} d x

Apply u-substitution

= \int_{1}^{2} 2 d u

Integral of a constant:

\int a d x = a x

= [2 u]_{1}^{2}

Compute the boundaries:

2

= 2

What is the integral from 2 to 5 of 1/(sqrt(x-1)) ?
The integral from 2 to 5 of 1/(sqrt(x-1)) is 2