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Q#1
Integral Calculus
GATE CH 2024
NAT
+2 marks
-0 marks
Consider the line integral
\(\begin{align*} \int_C \mathbf{F}(\mathbf{r}) \cdot d\mathbf{r} \end{align*}\)
π(π) = π₯ πΜ+ π¦ πΜ+ π§πΜ
where πΜ, πΜ and πΜ are unit vectors in the (π₯, π¦, π§) Cartesian coordinate system. The path C is given by π(π‘) = cos(π‘) πΜ+ sin(π‘) πΜ+ π‘ πΜ, where 0 ≤ π‘ ≤ π. The value of the integral,
rounded off to 2 decimal places, is _________
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