Question

Use FTC to evaluate a definite integral with basic integrand--


(integral) bottom number 0, top #2 (4x^3+1)dx=

Answer 1

Don't know what FTC stands for but
the integral of 4x^3 + 1 is
x^4 + x

so the definite integral of the above from 0 to 2 is
(2)^4 + 2 - 0
= 18

Answer 2

FTC is the Fundamental Theorem of Calculus. Thanks for you help.