Question

How do you find the definite integral of `(x^4 - 1)/( x^2 + 1) dx` from -5 to -2?

Answer 1

36

Explanation:

`int_-5^-2(x^4-1)/(x^2+1)dx=int_-5^-2(x^2-1)dx=`
`[x^3/3-x]_-5^-2=-8/3+2-(-125/3+5)=(-8+6+125-15)/3=108/3=36`