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# C4 integration im stuck on watch

1. Hi,

I dont understand what im doing on this question

Integrate 6x/1+3x^2 dx.

Sorry, hope you guys can read that okay
Thanks
2. what happens if you differentiate ?
3. (Original post by Virgil)
Hi,

I dont understand what im doing on this question

Integrate 6x/1+3x^2 dx.

Sorry, hope you guys can read that okay
Thanks
4. (Original post by Pheylan)
what happens if you differentiate ?
I cant remember how to do it.
5. (Original post by Virgil)
I cant remember how to do it.
should probably grab your C3 book
6. Thats actually Core 3.

When

f'(x)/f(x)
7. So f'(x) over f(x) okay and I understand the its ln(1+3x^2) , so is the answer just ln(1+3x^2) + c
8. yay or nay?
9. yeah
10. sweet thanks guys
11. y=1+3x^2

(6x/(1+3x^2))dx

dy/dx=6x

(6x/(1+3x^2))dx => dy*dx/(dx*y)=dy/y

Integrating dy/y = ln y + C => ln (1+3x^2) + C

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Updated: February 5, 2010
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