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# Integration help! (C2) watch

1. Hi guys, just wondering if anyone could help me with this question, it seems so basic but I can't seem to reach the final answer of 2/3x^3/2 + 4x^1/2 + c

Integrate x+2 / x^1/2

I can get the first part of the answer of 2/3x^3/2 , but I can't seem to get the 4x^1/2.

So sorry if the numbers are horrible to visualize, I have no idea how to post them in picture form like everyone else has!
2. Try differentiating the answer you wish to get and then it will come clear which bit you have failed to integrate initially
3. You fail.

This is so easy I did it in my head.

add one to the power and divide by the new power -1/2 + 1 = 1/2 and 2 divided by 1/2 =4

It's not rocket science.
4. (Original post by Antonton)
Hi guys, just wondering if anyone could help me with this question, it seems so basic but I can't seem to reach the final answer of 2/3x^3/2 + 4x^1/2 + c

Integrate x+2 / x^1/2

I can get the first part of the answer of 2/3x^3/2 , but I can't seem to get the 4x^1/2.

So sorry if the numbers are horrible to visualize, I have no idea how to post them in picture form like everyone else has!
Write it as Multiply out the brackets and integrate each term.
5. (Original post by Gemini92)
Write it as Multiply out the brackets and integrate each term.
May I ask, why is it -1/2? I thought when your multiplying by a fraction you "flip" it and multiply, hence 1/ x^1/2 , or is that the same as x^-1/2? Cheers!

Edit : Oh actually, its indices rule isnt it, the "minus" sign indicates 1 over something, am I right?
6. (Original post by Antonton)
May I ask, why is it -1/2? I thought when your multiplying by a fraction you "flip" it and multiply, hence 1/ x^1/2 , or is that the same as x^-1/2? Cheers!

Edit : Oh actually, its indices rule isnt it, the "minus" sign indicates 1 over something, am I right?
Yes, it's just the fact that

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