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Unformatted text preview: u = t and dv = et dt . Then du = dt and v =et . Thus, Z 2 tet dt = het t i 2Z 2et dt = het t i 2h et i 2 =e2 2 + e21 . 1 Question 3: Sketch 2 x 2 and sin x from1 to 1. Hence ﬁnd R 11 (2 x 2 +sin x ) dx using symmetry. Check your answer by an explicit calculation. Answer: You will have to provide the sketch yourselves, because I have not yet worked out how to do that in Latex. From your diagram you will hopefully be able to tell that the integral of sin x is going to cancel out, since sin is odd. So R 11 (2 x 2 + sin x ) dx = R 11 2 x 2 dx = 4 R 1 x 2 = 4 3 2...
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This note was uploaded on 04/29/2008 for the course MATH 20B taught by Professor Justin during the Spring '08 term at UCSD.
 Spring '08
 Justin
 Definite Integrals, Integrals

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