# Calculus II: double integral

• March 27th 2009, 08:08 PM
NonCommAlg
Calculus II: double integral
Evaluate $\int \int_R (x \cos(x^3) + y^4 \sin y + 1) \ dx \ dy,$ where $R=\{(x,y) \in \mathbb{R}^2: \ x^2 + y^2 \leq 1 \}.$
• March 28th 2009, 12:36 PM
bkarpuz
Quote:

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 :p
the integral value is $\pi$ the area of the domain.
• March 28th 2009, 12:45 PM
NonCommAlg
Quote:

Originally Posted by bkarpuz

odd+odd+even :p

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! (Nod)