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# Fundamental Theorem of Calculus When Given Antiderivative

APCALC-SYH5SS

Given the antiderivative of a function $f(x)=x+1$ is given by:

$$F(x)=\cfrac{x^{2}}{2}+x$$

Find the definite integral:

$$\int _{ 0 }^{ 4 }{ f(x)dx }$$

A

$1$

B

$5$

C

$8$

D

$12$