Question

Calculate the double integral ∫∫cos( ) where is the region: 0≤≤3,0≤≤4.
A) True
B) False

Answer 1

To calculate the double integral of cos(θ) over a given region, first convert to polar coordinates and then solve the integral using the appropriate limits.

Step-by-step explanation:

To calculate the double integral of ∫∫cos(θ) over the given region 0≤θ≤3, 0≤r≤4, we need to convert to polar coordinates. In polar coordinates, the integral becomes ∫∫r*cos(θ) dr dθ.

The limits of integration for r are 0 to 4, and for θ are 0 to 3.

Solving the integral gives us the value of the double integral.