Question

Let F : [0, 2] → $\R$ be the function defined by
$F(x)=\int_{x^2}^{x+2}e^{x[t]}dt,$
where [t] denotes the greatest integer less than or equal to t. Then the value of the derivative of F at x = 1 equals

• A. e3 + 2e2 - e
• B. e3 - e2 + 2e
• C. e3 - e + 2e2
• D. e3 + 2e2 + e

Answer 1

Answer: (C)

e3 - e + 2e2

Answer 2

The correct option is (C) : e3 - e + 2e2.