Question

what is the integral for |x|dx?
what is the integral for |x|dx?
@Mathematics

Answer 1

For this |x| needs to be written as a piecewise function, because |x|=x when x>=0, but |x|=-x when x<0. The integral of those are different, giving us a piecewise integral.

Answer 2

the integral from (-Pi) to (pi)

Answer 3

\[\int\limits_{-\pi}^{\pi}|x|dx=\int\limits_{-\pi}^{0}-xdx+\int\limits_{0}^{\pi}xdx\]

Answer 4

thank you so much

Answer 5

You're welcome. The answer should come out to be \[\pi^{2}\]