Question
Calculate the double integral.$ \displaystyle \iint\limits_R x \sec^2 y\ dA $, $ R = \{(x, y) \mid 0 \le x \le 2, 0 \le y \le \frac{\pi}{4} \} $
Step 1
The limits of integration for x are from 0 to 2 and for y are from 0 to $\frac{\pi}{4}$. The integrand is $x \sec^2 y$. So, the double integral is written as: \[ \iint\limits_R x \sec^2 y\ dA = \int_{0}^{2} \int_{0}^{\frac{\pi}{4}} x \sec^2 y\ dy\ dx \] Show more…
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