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Unformatted text preview: f ( t ) = x arcsin( x 2 + 1). 2. Find the area between the line y = 50 and the function f ( x ) = x 2 e x 3 on the interval [1 , 3]. 1 3. Compute the following indeﬁnite integral Z cos 3 ( θ )sin( θ ) dθ 4. Find the general solution of the diﬀerential equation given by dy dx = 1 2 x ln(3 x ) 2. Section 7.5 1. Consider the function f ( x ) = 3+2 x 2 on the interval [1 , 4]. For each of the following pairs, state which numerical approximation overestimates Z 4 1 (3 + 2 x 2 ) dx and explain why. (a) TRAP(3) or MID(3). (b) RIGHT(3) or LEFT(3). 3. Section 7.7 1. Explain why the following improper integral diverges, or compute its value. Z 1 x ln( x ) dx You may assume that lim x → + x 2 ln( x ) = 0. This fact follows from L’Hopital’s Rule. 4. Section 7.8...
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This note was uploaded on 09/13/2010 for the course MATH math 10b taught by Professor Reed during the Summer '10 term at UCSD.
 Summer '10
 reed
 Math, Derivative

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