Question

How do you evaluate the definite integral `int (x^2-x+6)dx` from [1,4]?

Answer 1

`color(red)[int_1^4(x^2-x+6)*dx=63/2]`

Explanation:

show below

`color(red)[int_1^4(x^2-x+6)*dx=]`

`[1/3*x^3-1/2*x^2+6x]_1^4=`

`[(64/3-16/2+24)-(1/3-1/2+6)]=[63/2]`