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If int(0)^(x)e^(xt).e^(-t^(2))dt=e^(x^(2...

If `int_(0)^(x)e^(xt).e^(-t^(2))dt=e^(x^(2)//4)int_(0)^(x)f(t)dt` then `f(t)` is a)`e^(-t^(2)//4)` b)`e^(-t//4)` c)`2e^(t^(2)//4)`d)`e^(t^(2)//2)`

A

`e^(-t^(2)//4)`

B

`e^(-t//4)`

C

`2e^(t^(2)//4)`

D

`e^(t^(2)//2)`

Text Solution

Verified by Experts

The correct Answer is:
A
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