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C1 maths, integration question watch

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    Came across question: ∫(2/√x)dx

    Answer is 4x^0.5 or in other words 4√x. But I'm not sure how... I tried to simplify 2/√x to 2x^0.5 (Is that correct?) which when i integrate became 2x^1.5/1.5 which equals 4/3x^1.5...something went wrong in my steps, and i can't figure it out!

    Thanks,- Jay.
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    2/√x simplifies to 2x^-0.5 ... does that help?
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    1) 2/√x = 2/x^1/2 (as a root is the same as a half power)

    2) 2/√x can then be written as 2x^-1/2

    3) Integration: add one to the power and divide through by the coefficient.
    2x^1/2 divided by 1/2

    4) 4x^1/2 is the answer, or as you wrote it 4√x
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    Of course, lol, simplifies to 2x^-0.5, that helped! Thanks!
 
 
 
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Updated: December 30, 2012

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