Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Definite Integration

Question:

If f(2a - x) = f(x) and $\int_0^af(x)dx=λ$ then $\int_0^{2a}f(x)dx$ is:

Options:

$2λ$

$λ$

0

None of these

Correct Answer:

$2λ$

Explanation:

$I=\int\limits_0^{2a}f(x)dx\int\limits_0^{a}f(x)+f(2a-x)dx=\int\limits_0^{a}2f(x)dx$