- #1

PFuser1232

- 479

- 20

$$\int_a^b |x| dx$$

using an antiderivative of ##|x|##, namely ##\frac{1}{2} x |x|##, instead of splitting up the integration interval?

I know this is not particularly useful for integrals such as:

$$\int_{-5}^5 |t^3 - 8| dt$$

However, for absolute value functions with linear arguments, this method (if valid) would be much more efficient.