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# C1 maths, integration question watch

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1. 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.
2. 2/√x simplifies to 2x^-0.5 ... does that help?
3. 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
4. Of course, lol, simplifies to 2x^-0.5, that helped! Thanks!

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Updated: December 30, 2012
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