Evaluate the Integral Below:

Question

Evaluate the Integral below using the theorem given. please show all steps. The correct answer is 39/2.

Answer 1

f(x) = 4x^2 + x +2

take the integral to get

F(x) = 4x^3/3 + x^2/2 + 2x

evaluate between -1 to 2

F(2)-F(-1) = 32/3 +2 +4 - (-4/3 +1/2 -2)

= 50/3 - (-17/6)

= 100/6+ 17/6

= 117/6

= 19 1/2

= 39/2