What is `int_1^3 |1-x^4|dx` equal to?

Explanation

`I = int_1^3 |1-x^4| dx`

Here, we have to find the integral,

`I = int_1^3 -(1-x^4) dx`

`=>I = int_1^3 (x^4-1) dx`

`=> I = [x^5/5-x]_1^3`

`=>I = [243/5-3-1/5+1] = [(243-15-1+5)/5] = 232/5`