Evaluate the integral. (Use C for the constant of
integration.)
(x^2-1)/(sqrt(25+x^2)*dx
Evaluate the integral. (Use C for the constant of
integration.)
dx/sqrt(9x^2-16)^3
Evaluate the integral. (Use C for the constant of
integration.)
3/(x(x+2)(3x-1))*dx
Evaluate the double integral explicitly by reversing the order
of integration:? Integral from 0 to 8 and integral from (sub3
square root of y) to 2 ex dxdy
Problem 1: Use Green's Theorem to evaluate the vector line
integral
∫C [?3??−?3] ??
where ? is the circle ?2+?2=1 with counterclockwise
orientation.
Problem 2: Which of the following equations represents a plane
which is parallel to the plane
36?−18?+12?=30
and which passes through the point (3,6,1) ?
a). 6?−3?+2?=3
b). 6?+3?−2?=34
c). 36?+18?−12?=204
d). 6?−3?+2?=2
e). 36?+18?+12?=228
Evaluate the line integral
C
F · dr,
where C is given by the vector function
r(t).
F(x, y, z) = sin(x) i + cos(y) j + xz k
r(t) = t5 i − t4 j + t k, 0 ≤ t ≤ 1