Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Definite Integration

Question:

If $I=\int_{-1}^1([x]^2+\log(\frac{2+x}{2-x}))dx$ where [x] denotes the greatest integer ≤ x, then I equals:

Options:

-2

-1

0

1

Correct Answer:

0

Explanation:

[x]2 = 0  x ∈ (-1,1) and $I=\int\limits_{-1}^1\underset{odd\,function}{\underbrace{\log(\frac{2+x}{2-x})}}$