Multiple Choice Questions on Integrate the given equation 0 pi 3 5eit dt i radic 1 and t is a real numb........... for NDA Exam Preparation

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Multiple Choice Questions

Integrate the given equation 0 pi 3 5eit dt i radic 1 and t is a real numb...........

Mathematics (NDA) Integration
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     Integrate the given equation   ? 0 π/3 5eit dt,  i=√-1 and t is a real number?

    [ √3/2  -1/2i   ]

    Incorrect Answer

    [ √3/2  +1/2i   ]

    Incorrect Answer

    [ √3/2  -5/2i   ]

    Correct Answer

    [- √3/2  +1/2i   ]

    Incorrect Answer
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    Explanation:

    I=   ?0π/3 5eit dt

       =[5eit /i]0π/3

    =5[(cost +i sin t)/i ]0π/3

    =5/i   [1/2  +i √3/2 -1]

    =[-5/2i   +  √3/2 ]

    By: bhavesh kumar singh
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