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Calculus I
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Surface Area of Revolution
Grade Level
Calculus I
CAL1.135 Surface Area of Revolution
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A curve y = ln(cos(x)) is rotated about the x-axis for 0 <= x <= pi/4. Select the correct integral setup for surface area.
A
2*pi*int_0^(pi/4) ln(cos(x))*sqrt(1+(-tan(x))
2
) dx
B
2*pi*int_0^(pi/4) (-ln(cos(x)))*sqrt(1+(-tan(x))) dx
C
int_0^(pi/4) (-ln(cos(x)))*sqrt(1+(-tan(x))
2
) dx
D
2*pi*int_0^(pi/4) (-ln(cos(x)))*sqrt(1+(-tan(x))
2
) dx
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