Question

Let f(x) be a continuous function such that f(1) and f'(x)-Vx3 + 6. What is the value of,f(5)? (A) 11.446 (C) 24.672 (B) 13.446 (D) 26.672 7. Let f(x) be a continuous function such that and f'lx)- (A) 11.446 (C) 24.672 6. What is the value of f(5)? (B) 13.446 (D) 26.672

Answer 1

f(5) = 26.672 which is option D

Explanation:

From question, f(1) = 2 and f'(x)=√(x^3 + 6)

f(5) = f(1) + (5,1)∫ f'(x) dx

Integrating using the boundary 5 and 1;

f(5) = 2 + (5,1)∫√(x^3 + 6) dx

f(5) = 2 + 24.672

So f(5) = 26.672