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practice-exam1-21b

# practice-exam1-21b - (a 3 R x 2(1 4 x dx(b 1 R-2(2 x | x |...

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Math 21B UC Davis, Winter 2010 Dan Romik Practice Exam 1 Instructions: The exam should be solvable in 45 minutes. Do not use a calculator. 1 (15 points) Evaluate 20 k =1 (2 k - 2). 2 (15 points) If f ( x ) is continuous and 25 R 0 f ( x ) dx = 8, what is 5 R 0 f ( x 2 ) x dx ? 3 (20 points) Find the area of the region bounded between the curves y = 3 x and y = x 2 . 4 (30 points) Evaluate the following definite integrals:
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Unformatted text preview: (a) 3 R x 2 (1 + 4 x ) dx (b) 1 R-2 (2 x- | x | ) dx (c) 1 R x 1+ x 4 dx 5 (20 points) Compute the following indeﬁnite integrals: (Example: R 10 x 4 dx = 2 x 5 + C . Don’t forget the “ C ”...) (a) R x 2 sin( x 3 ) dx (b) R (3 x + 1) 99 dx...
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