Question:medium

The value of the improper integral \( \int_0^1 \frac{1}{4\sqrt{1-x}} dx \) is equal to _______.

Show Hint

When the denominator of a fraction contains a square root of a linear expression like \( \sqrt{a-x} \), substituting the entire expression under the root usually simplifies the integral to a basic power rule form.
Updated On: Jul 4, 2026
  • 4
  • \( \frac{1}{4} \)
  • \( \frac{1}{2} \)
  • \( \infty \)
Show Solution

The Correct Option is C

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