Use your graphing calculator to evaluate to three decimal places the value of the integral from negative 1 to 1 of the product 2 and the square root of 1 minus x squared over 2, dx .

Question

3.771
3.636
1.571
1.111

Answer 1

To evaluate the integral, we can rewrite it as:

∫[-1, 1] 2 * (sqrt(1 - (x^2)/2)) dx.

Now, use your graphing calculator to evaluate the integral:

The value of the integral ≈ 1.571

So, the correct answer is 1.571.