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 .
3.771
3.636
1.571
1.111
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.
To evaluate the integral, follow these steps:
1. Turn on your graphing calculator.
2. Enter the function to be integrated: 2√(1-x^2)/2.
3. Set the limits of integration by pressing the necessary buttons (e.g., -1 to 1).
4. Calculate the integral by using the integral function on your calculator.
5. Round the result to three decimal places.
The correct answer is 1.571.
To evaluate the integral using a graphing calculator, follow these steps:
1. Turn on your graphing calculator and navigate to the "CALC" or "MATH" menu.
2. Select the option for "definite integral" or "∫[a, b]" where "a" and "b" are the limits of integration.
3. Enter the function you want to integrate. In this case, the function is 2√(1 - x^2)/2. Make sure to enter it in the correct format, using parentheses where necessary.
4. Specify the limits of integration. In this case, the limits are from -1 to 1.
5. Press "Enter" or the equivalent button on your calculator to compute the integral.
The calculator will then perform the calculation and provide you with the numerical result.
Based on the given options, the correct answer is 1.571.