Finding bounds of triple integral

Thread starter Larrytsai
Start date Oct 28, 2010
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Bounds Integral Triple integral

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The discussion focuses on evaluating the triple integral of the function (x+5y)dV over a region defined by a parabolic cylinder and specific planes. The proposed bounds for the integral are analyzed, with the correct limits for dz identified as 0 to 9x. However, the bounds for dy are noted to be reversed, indicating a need for correction. The limits for dx are confirmed to be appropriate, ranging from 0 to 6. Overall, the evaluation of the triple integral requires adjustments to the dy bounds for accurate results.

Oct 28, 2010

Larrytsai

Homework Statement

Evaluate the triple integral of the function (x+5y)dV Where E is bounded by a parabolic cylinder and the planes z=9x z=0 y=18x and y=3x^2

I just wanted to knw if my bounds are correct.
Here they are

for dz:
0 to 9x

dy:

18x to 3x^2

dx:

0 to 6

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Oct 29, 2010

vela

Staff Emeritus

Science Advisor

Homework Helper

Your limits for y are backwards, but otherwise everything looks okay.

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