Teaching HTET PGT Level 3 - 2024 Mock Test Mathematics Integral Calculus Definite Integrals

What is the value of \(\rm \int_0^1 xe^{x^2}dx\)?

1
\(\frac{(e-1)}{2}\)
2
e2 - 1
3
2(e - 1)
4
e - 1
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