Question

Let F(x, y, z)  =  (3x2 ln(6y2 + 2) + 8z3) i  +  (  12yx3 6y2...

Let

F(x, y, z)  =  (3x2 ln(6y2 + 2) + 8z3) i  +  ( 
12yx3
6y2 + 2
+ 7z) j  +  (24xz2 + 7y − 10π sin πz) k

and let  r(t)  =  (t3 + 1) i  +  (t2 + 2) j  +  t3 k ,  0  ≤  t  ≤  1.
Evaluate  
C
∫
C
F · dr .
Math   Calculus   
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