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Math Help - Calculus II: double integral

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    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 \}.
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    Senior Member bkarpuz's Avatar
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    Quote Originally Posted by NonCommAlg View Post
    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.
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    Quote Originally Posted by bkarpuz View Post

    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!
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