Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Mathematics Integral Calculus

\(\int_0^{2 + i} {\left( {{x^2} + iy} \right)} \,dz\) along the path y = x is equal to

1
\(\frac{2}{3}+\frac{14}{3}i\)
2
\(\frac{3}{2}+\frac{3}{14}i\)
3
\(\frac{2}{3}-\frac{14}{3}i\)
4
\(\frac{3}{2}-\frac{14}{4}i\)
5
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