Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Definite Integration

Question:

If f(-x) + f(x) = 0 then $\int_a^xf(t)dt$ is:

Options:

An odd function

An even function

A periodic function

None of these

Correct Answer:

An even function

Explanation:

If f(x) is an odd function then F(x) is an even function, but if f(x) is an even function then F(x) is an odd function only if F(0) = 0 $(F(x)=\int f(x)dx)$