Assume that C is the parametric curve x = x t , y = y t , where t varies from a to b . In each part, express the line integral as a definite integral with variable of integration t . a ∫ C f x , y d x + g x , y d y b ∫ C f x , y d s
Assume that C is the parametric curve x = x t , y = y t , where t varies from a to b . In each part, express the line integral as a definite integral with variable of integration t . a ∫ C f x , y d x + g x , y d y b ∫ C f x , y d s
Assume that C is the parametric curve
x
=
x
t
,
y
=
y
t
,
where t varies from a to b. In each part, express the line integral as a definite integral with variable of integrationt.
a
∫
C
f
x
,
y
d
x
+
g
x
,
y
d
y
b
∫
C
f
x
,
y
d
s
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.
Explain how the fundamental theorem of calculus relates integrals and derivatives.
Edit ▾ Insert Formats B IUX₂ x² A ▾ A
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Find the approximation for the Green's function of the
one-dimensional acoustic wave equation in the case where
velocity is given by: c(x) = aebx , where a and b are real
numbers and a > 0. Analyze each case, b 0, in detail.
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Fundamental Theorem of Calculus 1 | Geometric Idea + Chain Rule Example; Author: Dr. Trefor Bazett;https://www.youtube.com/watch?v=hAfpl8jLFOs;License: Standard YouTube License, CC-BY