Q.1 (A)(iv) The value of displaystyle∫ dx/(√(1-x)) is _____. A. 2√(1-x) + c B. -2√(1-x) + c C. √(x) + c D. x + c

Answer: (b) -2√(1-x) + c displaystyle∫ (1-x)^(-1/2) dx = frac(1-x)^(1/2)1/2·(-1) + c = -2√(1-x) + c (the factor -1 is the coefficient of x ).

Chapter: Integration· Mathematics & Statistics (Commerce) Part 1

The value of \(\displaystyle\int \frac{dx}{\sqrt{1-x}}\) is _____.

Q.1 (A)(iv) The value of \(\displaystyle\int \frac{dx}{\sqrt{1-x}}\) is _____.

A. \(2\sqrt{1-x} + c\)

B. \(-2\sqrt{1-x} + c\)

C. \(\sqrt{x} + c\)

D. \(x + c\)

Doubtly Asked 29 Oct 2026 Board exam · March 2024 hsc 12th Save WhatsApp Report

1 answer

Best answer

Answer: (b) \(-2\sqrt{1-x} + c\)

\(\displaystyle\int (1-x)^{-1/2}\,dx = \frac{(1-x)^{1/2}}{\frac{1}{2}\cdot(-1)} + c = -2\sqrt{1-x} + c\) (the factor \(-1\) is the coefficient of \(x\)).

Doubtly AI · 29 Oct 2026 AI-verified · Nov 2026 Report

Was this answer helpful?

The value of \(\displaystyle\int \frac{dx}{\sqrt{1-x}}\) is _____.

1 answer

Your answer