Find the value of .

MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals

Problem

Find the value of ∫012x ex2 dx\displaystyle\int_{0}^{1}2x\,e^{x^{2}}\,dx. (a) e+1e+1 (b) e−12\dfrac{e-1}{2} (c) e−1e-1 (d) e2−1e^{2}-1

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