Calculus II: double integral

**NonCommAlg** · March 27th, 2009, 08:08 PM

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

**bkarpuz** · March 28th, 2009, 12:36 PM

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.

**NonCommAlg** · March 28th, 2009, 12:45 PM

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!

Math Help Forum: Calculus II: double integral