B. Evaluate the given line integral. Follow the direction of C as given in the problem statement. 4. Evaluate f, 6x ds where C is the portion of y = 3+x? from x = -2 to x = 0 followed by the portion of y = 3 –- x² from x = 0 to x = 2 which in turn is followed by the line segment from (2, –1) to (-1,–2). See the sketch below for the direction. y= 3+x = 3-x

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Calculus 3 Module: Line Integral
B. Evaluate the given line integral. Follow the direction of C as given in the problem
statement.
4. Evaluate S. 6x ds where C is the portion of y = 3+ x² from x = -2 to x = 0
followed by the portion of y = 3 – x² from x = 0 to x = 2 which in turn is followed
by the line segment from (2, –1) to (-1,–2). See the sketch below for the
direction.
y = 3+x
y=3-x
Transcribed Image Text:B. Evaluate the given line integral. Follow the direction of C as given in the problem statement. 4. Evaluate S. 6x ds where C is the portion of y = 3+ x² from x = -2 to x = 0 followed by the portion of y = 3 – x² from x = 0 to x = 2 which in turn is followed by the line segment from (2, –1) to (-1,–2). See the sketch below for the direction. y = 3+x y=3-x
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