If $\displaystyle \displaystyle \int_1^2 e^{t^2} \, dt = \alpha$ Evaluate ( in terms of $\displaystyle \displaystyle \alpha$ ) : $\displaystyle \displaystyle \int_{e}^{e^4} \sqrt{ln (x)} \,\ dx$
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sub u^2 = ln (x) and change the limit of the integral
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