所屬科目：研究所、轉學考(插大)-微積分
(a) y = (x²-1)(x²+x+1)
(b) y = cos(sin 2x)
(c) y= sin⁻¹(sec x),
(a) ∫xsinxdx
(b)
(c)
(a)
4. Find the volume of the solid generated by revolving about the x-axis the region bounded by the curves y = x and y = x².
5. Assume that is convergent. Is convergent? Prove your answer.
6. Evaluate , where S is the first quadrant sector of the circle x² + y² = 4 between y = 0 and y = x.
7. Find the extrema, if any, of the function f defined by f(x,y) = x6 + y2 - 6x + 2y -1.
8. Evaluate .
9. Find the equation of the plane through the three points A(-1,2,0), B(5,-1,3), and C(4,0,-2).
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is convergent. Is 
convergent? Prove your answer.
, where S is the first quadrant sector of the circle x² + y² = 4 between y = 0 and y = x.
.