Question

integrate 1/x^1.005

Answer 1

\[\int\limits x^n dx = \frac{x^{n+1}}{n+1}\]

here n = ???

Answer 2

no wait, it's a fraction. it's 1 / x^1.005 not just the x

Answer 3

\[\int \frac{1 }{ x^{1.005}} dx = \int x^{-1.005} dx\]

Answer 4

yes?

Answer 5

that's what i did also. then whats next?

Answer 6

you add 1 right? and the answer is the denominator?

Answer 7

this what you mean?

\[\frac{x^{(-1.005 + 1)}}{-1.005 + 1}\]

Answer 8

yes

Answer 9

is that correct

Answer 10

simplify it ... -1.005 + 1 = -0.05 and 1/ 0.005 = 200 .....but yes, well done.

Answer 11

wait can you explain to me the simplification

Answer 12

\[\frac{x^{-1.005 + 1}}{-1.005 + 1} = \frac{x^{-0.005}}{-0.005} = \frac{-200}{x^{0.005}}\]

Answer 13

thanks!