Mastering Integrals: Solving the Anti-Derivative of 7x^-1 with Ease

[Hygelac]

THis one just seems wierd, I know it should be easy but for some reason I am having trouble with it :(

What is the anti-derivative of 7x^-1 ?

 

[Muzza]

7ln(x) + C.

 

[ReyChiquito]

\int x^ndx=\frac{x^{n+1}}{n+1}+C

 

[Muzza]

Using that won't work in this case.

 

[ReyChiquito]

i read the q. wrong :P

but sure it works using the fundamental theorem of calculus

 

[Muzza]

It still doesn't work. If you set n = -1, you'll be dividing by zero...

 

[Sirus]

\int \frac{1}{u}\,du=\ln|{u}|+C

 

[ReyChiquito]

It still doesn't work. If you set n = -1, you'll be dividing by zero...

good point

SEE KIDS what can happen if you don't read the whole question?

*blush*