Final answer:
To evaluate the double integral, we need to rewrite the integral function in terms of x and y. The given region D is bounded by the curves y = 0 and y = x^2, and the limits of integration for x are 0 to 1. After evaluating the double integral, the result will give us the numerical value of the integral.
Step-by-step explanation:
To evaluate the double integral, we need to rewrite the integral function in terms of x and y.
The given region D is bounded by the curves y = 0 and y = x^2, and the limits of integration for x are 0 to 1.
The integral can be written as: ∫(∫ (7y/(4x^5 + 1)) dy) dx, where the outer integral is with respect to x and the inner integral is with respect to y.
To evaluate the integral, we can first integrate the inner integral with respect to y from y = 0 to y = x^2, and then integrate the result with respect to x from x = 0 to x = 1.
After evaluating the double integral, the result will give us the numerical value of the integral.