Question
Evaluate the iterated integral.$$\int_{0}^{\pi / 4} \int_{0}^{1} \int_{0}^{x^{2}} x \cos y d z d x d y$$
Step 1
The integral of a constant with respect to $z$ is just the constant times $z$. So we have: $$ \int_{0}^{x^{2}} x \cos y d z = x \cos y \cdot z \bigg|_{0}^{x^{2}} = x^{3} \cos y $$ Show more…
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