16practice2

16practice2 - 16B Calculus Francisco Santos Nov 8 2007...

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Francisco Santos Nov 8, 2007 Practice Midterm 2 Name: ID: 1. (3 points each, 24 in total) Evaluate the following indeﬁnite integrals. Simplify your answers as much as possible. Show your work. You may use u -substitution, trig formulas, the simple power rule, the fundamental theorem of calculus, integration by parts, partial fraction decomposition, etc. a. R ( x + 1) e x 2 +2 x - 5 dx = b. R sec 10 x tan x dx = c. R ln x dx = d. R xe - x dx = e. R y sin y dy = f. R x - 4 x 3 + x 2 dx = 2. (3 points each, 6 in total) Evaluate the following deﬁnite integrals. Simplify your answers as much as possible. Show your work. You may use u -substitution, trig formulas, the simple power rule, the fundamental theorem of calculus, integration by parts, partial fraction decomposition, etc. a. R 2 0 x (1 - x ) 20 dx = b. R 1 0 x 3 +10 x +3 dx = 3. (5 points) Find the area of the region bounded by the graphs of x = 3 y 2 and x = - y 2 + 4 y . Set up but DO NOT EVALUATE the integral(s).

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16practice2 - 16B Calculus Francisco Santos Nov 8 2007...

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