اريد الحل بسرعة

[HONDA]

Find the total work done in
moving aparticle in a forc field given by:
f= 3xy i- 5z j +10x k
along the curve x=t²+1 ,,,y=2t²,,,,z=t³

from t=1 to t=2

انا حلتها بس اريد التاكيد على حلى بسررررررعة من فضلكم

[صلاح السلول]

find the inner product of the force by r =ix+jy +kz then integrate with
respect to t from 1 to2
the work=3x^2y-5zy+10xz
then substitute x y z