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Question

Mathematics Question on Integration

∫e1tttdt=\int\frac{e^{\frac{1}{\sqrt t}}}{t\sqrt t}dt=

A

12e1t+C\frac{1}{2}e^{\frac{1}{\sqrt t}}+C

B

−12e1t+C\frac{-1}{2}e^{\frac{1}{\sqrt t}}+C

C

2e1t+C2e^{\frac{1}{\sqrt t}}+C

D

−2e1t+C-2e^{\frac{1}{\sqrt t}}+C

E

e1t+Ce^{\frac{1}{\sqrt t}}+C

Answer

−2e1t+C-2e^{\frac{1}{\sqrt t}}+C

Explanation

Solution

The correct option is (D) : −2e1t+C-2e^{\frac{1}{\sqrt t}}+C