Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Definite Integration

Question:

The value of \(\int_{0}^{1}x\left(1-x\right)^{2022}dx\) is

Options:

\(\frac{1}{2023\times 2024}\)

\(\frac{1}{2022\times 2023}\)

\(\frac{1}{2020\times 2021}\)

0

Correct Answer:

\(\frac{1}{2023\times 2024}\)

Explanation:

Use \(\int_{0}^{a}f(x)dx=\int_{0}^{a}f(a-x)dx\)