# Math Help - Calculus II: double integral

1. ## Calculus II: double integral

Evaluate $\int \int_R (x \cos(x^3) + y^4 \sin y + 1) \ dx \ dy,$ where $R=\{(x,y) \in \mathbb{R}^2: \ x^2 + y^2 \leq 1 \}.$

2. Originally Posted by NonCommAlg
Evaluate $\int \int_R (x \cos(x^3) + y^4 \sin y + 1) \ dx \ dy,$ where $R=\{(x,y) \in \mathbb{R}^2: \ x^2 + y^2 \leq 1 \}.$
odd+odd+even
the integral value is $\pi$ the area of the domain.

3. Originally Posted by bkarpuz

odd+odd+even

the integral value is $\pi$ the area of the domain.
that is correct! some students might need to think a little bit about what you said though!