Question

evaluate the definite integral
{2 | 1-x2|dx
-2 |
absolute value of 1-x2

Answer 1

is it
\[\int\limits_{-2}^{2}|1 - x^2 | dx\]

Answer 2

\[\int\limits_{-2}^{-1}(x^2 - 1)dx + \int\limits_{-1}^{0}(1 - x^2 ) dx + \int\limits_{0}^{1}(1-x^2)dx + \int\limits_{1}^{2}(x^2 -1)dx\]

Answer 3

u get it?

Answer 4

plz explain it

Answer 5

u know the behavior of the absolute value function dont u?

Answer 6

u break the function according to its behavior in various intervals and then integrate it piecewise

Answer 7

Find the volume of the solid that results when the region enclosed by curve on the interval is revolved about the y-axis.

Answer 8

dunno volumes

Answer 9

i told u how to integrate