Question

I need help with this. Please and thank you.

Answer 1

`\frac {x^(b) - 1}{b}`

Explanation:

`\int_(1)^(x)y^(b-1)dy`

=
`[\frac {y^(b)}{b}]_(1)^(x)`

=
`\frac {x^(b) - 1}{b}`

We know from formula,

`\int x^(n)dx`

=
`\frac {x^(n+1)}{n+1} + c` [where c is a fixed but otherwise arbitrary

constant]