Question

Determine whether the integral is convergent or divergent. 1 59 1 − x2 dx 0 convergent divergent Correct: Your answer is correct. If it is convergent, evaluate it. (If the quantity diverges, enter DIVERGES

Answer 1

Complete Question

The complete question is shown on the first uploaded image  

Answer:

it is convergent and  the solution is  $= \frac{33 \pi }{2}$

Step-by-step explanation:

From the question we are given  

        $\int\limits^1_0 {\frac{33}{\sqrt{1-x^2} } } \, dx$

When integrated

         $= 33 sin^{-1} x \left | \ 1} \atop {0}} \right.$

        $= 33[ \frac{\pi }{2} - 0]$

        $= \frac{33 \pi }{2}$

This implies that the integral converges