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Use a calculator to evaluate the line integral correct to four decimal places.$\displaystyle \int_C z \ln (x + y) \, ds$, where $C$ has parametric equations $x = 1 + 3t$, $y = 2 + t^2$, $z = t^4$, $-1 \leqslant t \leqslant 1$

$1.72599$

Vector Calculus

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Anna Marie V.

Campbell University

Heather Z.

Oregon State University

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Idaho State University

Boston College

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Video Transcript

so again similar to the past few problems style. Set it up and and leave it to you to use a calculator to compare the last t integral. So dx DT is three d u i d t his two t DZ DT. It's for T Cube. The so DSS should be squared of nine plus everything square added together 40 square plus 16 t to six and gt So this in the growth should be t goes from negative 1 to 1 z is t to the fourth X plus y should be t square plus three t process three and, uh, the S is these things, and you can use a calculator to finish that.

FL

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Vector Calculus

Anna Marie V.

Campbell University

Heather Z.

Oregon State University

Michael J.

Idaho State University

Boston College

Lectures

Join Bootcamp