Solution:-
we have the following data given
Force F=xyi^+yzj^+xzk^
Path equation r(t)=ti^+2t2j^+t3k^
d(r)=i^+4tj^+3t2k^dt
Work done W=∫F.dr
W=∫(xyi^+yzj^+xzk^)(i^+4tj^+3t2k^)dt
=∫xydt+yz×4tdt+xz×3t2dt
Now, x = t, y=t2 and z=t3
=∫t3dt+4t6dt+3t6dt
=∫7t6dt+∫t3dt
=t7+4t4
Now, substituting the values of t = 1
=45 answer
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