Question

How do you evaluate the definite integral `int (x+1)dx` from [1,5]?

Answer 1

`16`

Explanation:

`"integrate each term using the "color(blue)"power rule"`

`•color(white)(x)int(ax^n)=a/(n+1)x^(n+1)to(n!=-1)`

`rArrint_1^5(x+1)dx`

`=[1/2x^2+x]_1^5`

`=(25/2+5)-(1/2+1)`

`=16`