Chemical Engineering > GATE 2024 > Numerical Analysis
Consider the line integral
∫C F(r) · dr,
with F(r) = x î + y ĵ + z &kcirc;,
where î, ĵ, and &kcirc; are unit vectors in the
(x, y, z) Cartesian coordinate system.
The path C is given by r(t) = cos(t) î + sin(t) ĵ + t &kcirc;, where 0 ≤ t ≤ π.
The value of the integral, rounded off to 2 decimal places, is _________
The path C is given by r(t) = cos(t) î + sin(t) ĵ + t &kcirc;, where 0 ≤ t ≤ π.
The value of the integral, rounded off to 2 decimal places, is _________
Correct : 0.36
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