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

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Multiple Choice Questions

Evaluate the given equation 0 pi 3 eit dt i radic 1 and t is a real number ........

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

    [ √3/2  -1/2i   ]

    Correct Answer

    [ √3/2  +1/2i   ]

    Incorrect Answer

    [- √3/2  -1/2i   ]

    Incorrect Answer

    [- √3/2  +1/2i   ]

    Incorrect Answer
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    Explanation:

    I=   ?0π/3 eit dt

    =[eit /i]0π/3

    =[(cost +i sin t)/i ]0π/3

    =1/i   [1/2  +i (√3/2 ) -1]

    =[-1/2i   +  √3/2 ]

    By: bhavesh kumar singh
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