Complex Integral of $f(z)=z\cdot \exp(z^2)$

Any hint for calculating the integral of $f(z)=z\cdot \exp(z^2)$?

1. on $r=[i, i+2]$,

2. on $t=\{x+ix^2:0\leq x\leq 1\}$

thx!

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Hint: it's not difficult to find a primitive function. – mrf Jan 27 '13 at 13:58
@Gopesh - welcome to ME. please use the math formatting options so that other people can help you. Also, if this is homework, please tag it as such. – nbubis Jan 27 '13 at 13:58
you can use the parametrization technique to find the solution. – Kumar Jan 27 '13 at 14:19

Hint: try the substitution $w=z^2$.