Question

(c) $\int_0^2 \int_2^3 ye^{x+y^2} dx dy$

Name: (c) ∫0^2 ∫2^3 ye^x+y^2 dx dy
Uploaded: 2024-01-14T22:49:37-08:00
Duration: 4 min 10 s
Channel: Willis James
Description: (c) ∫0^2 ∫2^3 ye^x+y^2 dx dy

          (c) $\int_0^2 \int_2^3 ye^{x+y^2} dx dy$

Added by Erik N.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Willis James

01/14/2024

Step 1

First, we integrate with respect to $x$: $\int_2^3 ye^{x+y^2} dx = ye^{x+y^2} \Big|_2^3 = y(e^{3+y^2} - e^{2+y^2})$ Show more…

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(2) Evaluate the following double integrals. Simplify each of these and give answer as fraction form or or with powers of "e". Just plugging in numbers will cause you to lose points. (c) \int_0^2 \int_2^3 ye^(x+y^(2))dxdy (c) $\int_0^2 \int_2^3 ye^{x+y^2} dx dy$