Question

Evaluate the iterated integral.\\ $\int_{\sqrt{\pi}}^{\sqrt{2\pi}} \int_0^{x^3} \sin\frac{y}{x} dy dx$

          Evaluate the iterated integral.\\
$\int_{\sqrt{\pi}}^{\sqrt{2\pi}} \int_0^{x^3} \sin\frac{y}{x} dy dx$

Evaluate the iterated integral.

∫√(π)^√(2π)∫0^x^3sin(y)/(x) dy dx

Added by Mercedes V.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Piyush Kumar Gupta

Step 1

First, let's evaluate the inner integral with respect to y: ∫ f'' sin(y) dy Since sin(y) is an antiderivative of itself, we can simply integrate f'' with respect to y: = -f'' cos(y) + C Show more…

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Evaluate the iterated integral: âˆ«âˆ«f'' sin(y) dy dx

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Question

Evaluate the iterated integral.\\ $\int_{\sqrt{\pi}}^{\sqrt{2\pi}} \int_0^{x^3} \sin\frac{y}{x} dy dx$

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