Question

Let [x] denote the greatest integer ≤ x. Consider the function $f(x)=max \\{x^2,1+[x] \\}$. Then the value of the integral $∫_0^2 f(x)dx$ is

• A. 1+5√2/3
• B. 5+4√2/3
• C. 8+4√2/3
• D. 4+5√2/3

Answer 1

Answer: (B)

5+4√2/3

Answer 2

The correct answer is 5+4√2/3