Is it true or false?

Question

The integral of (2x+1)dx from 2 to 4 is equal to (4²+4)-(3²+3).

a. True

b. False

Answer 1

FALSE

S(2x+1)dx from 2 to 4

= x^2 +x evaluated from 2 to 4

= (4)^2 +4 - (2)^2 -2

=16 +4 -4-2

= 14

4^2 + 4 -3^2-3 = 20-12 = 8

it would have been True

if either the integral had been evaluated from 3 to 4

or the right hand side had been 4^2 +4 - (2)^2 -2