Question

Evaluate the double integral ∬dxcosyda, where d is bounded by y=0, y=x², and x=2.

A) 0
B) 1
C) -1
D) 2

Answer 1

To evaluate the double integral ∬dxcosyda, we need to set up the integral with the given bounds and use the limits of integration to find the answer.

Step-by-step explanation:

To evaluate the double integral ∬dxcosyda, we need to set up the integral with the given bounds.

• The lower bound of the integral with respect to y is y=0 and the upper bound is y=x²
• The lower bound of the integral with respect to x is x=0 and the upper bound is x=2

Putting it all together, the double integral becomes ∫∫cosy dy dx, with the bounds y=0 to y=x² and x=0 to x=2.

Using the limits of integration, we can evaluate this double integral to get the answer.