The value of f(3) is the equation for is mathematically given as
f(3) = 30
This is further explained below.
In the field of mathematics, a continuous function is defined as a function that exhibits the property of inducing a continuous variation in the value of the function whenever the argument undergoes a continuous change. This indicates that there are not any rapid shifts in value, which are referred to as discontinuities.
Generally, given that, f '(x) is continuous in 3 to 1,
Therefore
∫f '(x) dx = f(x) + constant
and
[tex]\int ^b _a[/tex]f '(x) dx = f(b) - f(a)
Therefore
[tex]\int ^3 _1[/tex]f '(x) dx = f(3) - f(1) = 19
f(3) = f(1) + 19
f(3) = 14 + 19
f(3) = 30
In conclusion, the value of f(3) is
f(3) = 30
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