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Find the error in my steps? Q: x = 4 + te\(^t\), y = (t\(^2\) + 1)e\(^t\), 0 ≤ t ≤ 3 Set up an integral that represents the area of the surface obtained by rotating the given curve about the X-axis. Now to post my work...

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It's #6
1 Attachment
I solved it before so look at that my answer was right in there.

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Other answers:

Ack... Let me see where that line is and what I subsituted
Wait what? No that's not incorrect what I wrote @mahmit2012 , I just divided both sides by dt before I made the subsitution
I replaced \(\large\frac{dx}{dt}\) with te\(^t\)
Ah the definite integral gives the correct value I need now! Well done!
I was missing a term I seems

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