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What is anti derivative of e2x -

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Question

What is anti derivative of `e^(2x)`

Options

  • `e^(2x)`

  • `1/2 e^(2x)`

  • `2e^(2x)`

  • `2e^x`

MCQ

Solution

`1/2 e^(2x)`

Explanation:

We know that,

`d/(dx) (e^(2x)) = 2e^(2x)`

⇒ `e^(2x) = 1/2 d/(dx) (e^(2x))`

⇒ `e^(2x) = d/(dx) (1/2  e^(2x))`

∴ An anti derivative of `e^(2x)` is `+ 1/2 e^(2x) + c`.

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