Cool integral

Calculus Level 4

13dx(x1)(3x)=? \int_1^3 \dfrac{dx}{\sqrt{(x-1)(3-x)}} = \, ?

Round your answer to the nearest hundredth.

Bonus: Generalize abdx(xa)(bx) \displaystyle \int_a^b \dfrac{dx}{\sqrt{(x-a)(b-x)}} .

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