Solution Found!
?Evaluate the line integral.?C dx + ey dy 1 xz dz, C is given by r(t) = t4 i + t2 j + t3
Chapter 16, Problem 6(choose chapter or problem)
QUESTION:
Evaluate the line integral.
∫C dx + ey dy 1 xz dz,
C is given by r(t) = t4 i + t2 j + t3 k, 0 ⩽ t ⩽ 1
Questions & Answers
QUESTION:
Evaluate the line integral.
∫C dx + ey dy 1 xz dz,
C is given by r(t) = t4 i + t2 j + t3 k, 0 ⩽ t ⩽ 1
ANSWER:Step 1 of 2
To evaluate the integral
Here, is given by
(i)
Let the position vector of any arbitrary point on be
(ii)
Then, on comparing equations (i) and (ii),
Now, differentiating w.r.t ,