integrate this! (1 Viewer)

[vanush]

i have a bad teacher.

 

[Mc_Meaney]

1/2 log(2x³)+c

I think thats the answer, its integration of logs

 

[vanush]

I do doubt it

 

[SoulSearcher]

1/6 ln(2x³-7) + c

 

[abcd9146]

is 1/6 ln(2x³-7)+c

EDIT: too slow...

 

[Number7]

I do doubt it

Use 6 as as a constant factor in the numerator so that it satisfies the integral law of logs. I'm sure you can do it from there:

a f(x)'
f(x)

remove a out the front (a being 6 in this case)

Hope that helps.

 

[vanush]

can anyone type out the working out for this one?

**

thats definately not right?

 

[SoulSearcher]

notice that the derivative of ln (2x³-7) is equal to 1/(2x³-7) * 6x² = 6x²/(2x³-7)
Therefore the integral of x²/(2x³-7)
= 1/6 * the integral of 6x²/(2x³-7)
= 1/6 * ln (2x³-7) + C, because the integral of the first derivative of a function is equal to the function plus the constant

 

[sando]

yes it is ???

 

[vanush]

Thank you.