Could someone me simplify this so I can integrate it

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SUMMARY

The integral of the expression sqrt( (3t^2)^2 + (1)^2 + (sqrt(6)t)^2 ) from t=1 to t=3 simplifies to sqrt( 9t^4 + 6t^2 + 1 ). This expression can be further simplified to (3t^2 + 1)^2, making the integration straightforward. The realization of this simplification allows for the successful completion of the integral without further complications.

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FabioTTT
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I have to integrate:

sqrt( (3t^2)^2 + (1)^2 + (sqrt(6)t)^2 ) at the limits t=1 and t=3

I can't figure out how to simplify the problem so that I can do the integral.

So far the farthest I've gotten is the obvious:

sqrt( 9t^4 + 6t^2 + 1 )

now I am stuck.
 
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wow, nevermind. I'm such a tool. I didnt realize all that under the sqrt came out to be ( 3t^2 + 1 ) ^2
 
FabioTTT said:
wow, nevermind. I'm such a tool. I didnt realize all that under the sqrt came out to be ( 3t^2 + 1 ) ^2


then your problem is indeed solved.

regards
marlon
 

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