I need to calculate an integral over the set:
$$D \colon 0\leq x\leq \pi\text{ and }|y|\leq x$$
from the set (definite integral) $D \int \cos(y)dA$
I don't understand what $|y| \leq x$ means. Can someone give me a tip how to calculate this?
2026-04-03 16:26:01.1775233561
Double integral over the set with an absolute value of $y$
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$|y| \leq x$ means $-x \leq y \leq x$, so those are your limits for $y$.
$$\int_{0}^{\pi} \int_{-x}^{x} \cos(y) dy dx$$