Question

What is the exact area that lies beneath the curve y=9x^-4

Answer 1

\[1\le x \le6\]

Answer 2

\[\int_1^6\frac{9}{x^4}dx\]

Answer 3

or
\[9\int_1^6\frac{dx}{x^4}\] do you know how to find this?

Answer 4

i think so

Answer 5

ok use the power rule backwards
you have \(x^{-4}\) so the anti derivative will be \(-\frac{x^{-3}}{3}\)

Answer 6

multiply by that 9 out front and get \(-3x^{-3}=-\frac{3}{x^3}\) plut in 6, plug in one, and subtract

Answer 7

thanks i got the right answer