Let f(x) be a continuous function such that f(1)=2 and f(x)= x^3+6 and What is the value of f(5)?(A) 11.446 (B) 13.446 (C) 15.446 (D) 24.672 (E) 26.672 fx x f5

the value of f(5) is 26.672

Option (E) 26.672 is the correct answer

Step-by-step explanation:

Given that;

f(1) = 2 and f(x) = √( x³ + 6 )

f(5) = ?

f(5) = f(1) + ₁∫⁵ f'(x) dx

we substitute

f(5) = 2 + ₁∫⁵ √( x³ + 6 ) dx

f(5) = 2 + ₁∫⁵ √( x³ + 6 ) dx

f(5) = 2 + 24.6719

f(5) = 26.672

Therefore the value of f(5) is 26.672

Option (E) 26.672 is the correct answer