MATH 1372 Final: MATH 1372 UMN FinalPractice
Document Summary
Math 1372, section 33, final review: convert the following integral to an integral with variable using the substitution 3x = 4 tan . 16 + 9x2 dx: find the following antiderivative showing all steps: X2 4 dx: if the following integral is convergent then evaluate it. If it is divergent, then explain why it is divergent. 4. suppose that f (x) is a function such that |f (x)| 8 for 3 x 7. Find a bound for |et| for the following integral when n = 15. 4 f (x)dx: the region bounded by the parabola y = x2 2x + 2 and the line y = x + 2 is covered by a lamina of ensity . Find mx, my, and the mass for this lamina: the arc (curve segment) of the graph of f (x) = x3. 2x from (1, 2/3) to (2, 7/3) is rotated about the x-axis.
