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Unformatted text preview: R r ( t ) dt and then use the fact that r (0) = 0 to solve for C , the constant of integration. 4. Linear functions often are good choices for u when integrating by substitution. Suppose that R f ( u ) du = F ( u ) + C . Show that Z f ( ax + b ) dx = 1 a F ( ax + b ) + C 5. Find the indenite integral Z e 3 x +5 + 1 2 x1 dx Hint: Use the fact you just showed in problem 4 to avoid having to explicitly show a substitution step if you understand it....
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This note was uploaded on 04/06/2010 for the course MATH 116 taught by Professor Scholle,minho during the Spring '08 term at Kansas.
 Spring '08
 SCHOLLE,MINHO
 Math, Derivative

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