Use a calculator or computer to evaluate the line integral correct to four decimal places. 25. ∫ C F ⋅ d r , where F ( x , y ) = x + y i + ( y / x ) j and r ( t ) = sin 2 t i + sin t cos t j , π / 6 ⩽ t ⩽ π / 3
Use a calculator or computer to evaluate the line integral correct to four decimal places. 25. ∫ C F ⋅ d r , where F ( x , y ) = x + y i + ( y / x ) j and r ( t ) = sin 2 t i + sin t cos t j , π / 6 ⩽ t ⩽ π / 3
Solution Summary: The author calculates the line integral of a given function correct to four decimal places.
Use a calculator or computer to evaluate the line integral correct to four decimal places.
25.
∫
C
F
⋅
d
r
, where
F
(
x
,
y
)
=
x
+
y
i
+
(
y
/
x
)
j
and
r
(
t
)
=
sin
2
t
i
+
sin
t
cos
t
j
,
π
/
6
⩽
t
⩽
π
/
3
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
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Numerical Integration Introduction l Trapezoidal Rule Simpson's 1/3 Rule l Simpson's 3/8 l GATE 2021; Author: GATE Lectures by Dishank;https://www.youtube.com/watch?v=zadUB3NwFtQ;License: Standard YouTube License, CC-BY