b) Sketch the domain and evaluate $\int_0^4 \int_\sqrt{x}^2 \cos(y^3) \, dy \, dx$
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In this case, we are integrating over the entire x-axis, so the limits of integration for x will be from negative infinity to positive infinity. For y, we need to consider the domain of the function cos(y^3). Since cosine is defined for all real numbers, the Show more…
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