Evaluate: (i) Jz|=1 z*el2 dz ; (ii) Jiz-11=2 ²° sin(z¬) dz ; -il=3/2(2? + 1)-'e*/* dz ; (iv) f, z-' exp(z+ z¬1) dz, where y(t) = 2i sin t for 0 St< 4r. (N.B. The answer in (iv) involves an infinite ! zp(z_2)uis,

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Evaluate: (i) Jz|=1
z*el2 dz ; (ii) Jiz-11=2 ²° sin(z¬) dz ;
-il=3/2(2? + 1)-'e*/* dz ; (iv) f, z-' exp(z+ z¬1) dz, where y(t) =
2i sin t for 0 St< 4r. (N.B. The answer in (iv) involves an infinite
! zp(z_2)uis,
Transcribed Image Text:Evaluate: (i) Jz|=1 z*el2 dz ; (ii) Jiz-11=2 ²° sin(z¬) dz ; -il=3/2(2? + 1)-'e*/* dz ; (iv) f, z-' exp(z+ z¬1) dz, where y(t) = 2i sin t for 0 St< 4r. (N.B. The answer in (iv) involves an infinite ! zp(z_2)uis,
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