Question

please help me...............

Answer 1

it is simple....  answer is   2/3 * e^{(3x+1)/2}  + K

$I=\int {e^x \: \sqrt{e^{x+1}} } \, dx= \int { e^x e^{\frac{x+1}{2}} } \: dx\\\\I= \int {\sqrt{e} \: e^{\frac{3x}{2}}} \: dx\\\\I=\sqrt{e}*\frac{2}{3} \: e^{\frac{3x}{2}} + K$

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