Calculate the definite integral _ 0 ^ 3 2x ,e^ x^ 2 1 + e^ x^ 2 ,dx.

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Calculate the definite integral ∫0ln⁡32x ex21+ex2 dx.\int_{0}^{\sqrt{\ln 3}} \frac{2x\,e^{x^{2}}}{1 + e^{x^{2}}}\,dx.

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