Line integrals Use Green’s Theorem to evaluate the following line integrals. Unless stated otherwise, assume all curves are oriented counterclockwise. 29. ∮ C ( 2 x + e y 2 ) d y − ( 4 y 2 + e x 2 ) d x , where C is the boundary of the square with vertices (0, 0), (1, 0), (1, 1), and (0, 1)
Line integrals Use Green’s Theorem to evaluate the following line integrals. Unless stated otherwise, assume all curves are oriented counterclockwise. 29. ∮ C ( 2 x + e y 2 ) d y − ( 4 y 2 + e x 2 ) d x , where C is the boundary of the square with vertices (0, 0), (1, 0), (1, 1), and (0, 1)
Solution Summary: The author explains the formula used to compute the double integral.
Line integralsUse Green’s Theorem to evaluate the following line integrals. Unless stated otherwise, assume all curves are oriented counterclockwise.
29.
∮
C
(
2
x
+
e
y
2
)
d
y
−
(
4
y
2
+
e
x
2
)
d
x
, where C is the boundary of the square with vertices (0, 0), (1, 0), (1, 1), and (0, 1)
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.
on donne f(x) da fonction derive
dhe do fonction fcsos
calcule f'(x) orans chacun des
Cas sulants:
3
1) f(x)=5x-11, 2- f (x) = ->³
3-1(x) = x² 12x +π; 4-f(x)=-
5-f(x) = 33-4x6-609)=-3x²+
7= f(x) = x + 1.8-f(x) = 4
s-f(x) = x++
X+1
-x-1
2
I
3x-4
дево
The correct answer is Ccould you show me how to do it by finding a0 and and akas well as setting up the piecewise function and integrating
T
1
7. Fill in the blanks to write the calculus problem that would result in the following integral (do
not evaluate the interval). Draw a graph representing the problem.
So
π/2
2 2πxcosx dx
Find the volume of the solid obtained when the region under the curve
on the interval
is rotated about the
axis.
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