Work02FA13 - Group Name Math 231 A Fall 2013 Worksheet 2 1 Evaluate using integration by parts(a arctan x dx(b ln x dx x2(c t3 et dt 2(Hint Substitute x

# Work02FA13 - Group Name Math 231 A Fall 2013 Worksheet 2 1...

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Group: Name: Math 231 A. Fall 2013. Worksheet 2. 8/29/13 1.Evaluate using integration by parts(a)Zarctanx dx(b)Zlnxx2dx(c)Zt3et2dt.(Hint:Substitutex=t2)
2. (a) Integrate by parts to get a formula for Z sin 2 x dx which involves Z cos 2 x dx . (b) Evaluate Z sin 2 x dx , by using part (a) and the identity cos 2 x = 1 - sin 2 x . 3. Evaluate the integrals. (a) Z e x dx ( Hint: Substitute t = x ). (b) Z (ln x ) 2 dx .