Class 12 Integrals · Assertion Reason1 Marksintegration_properties
Class 12 Maths · Integrals · Assertion Reason #33
Assertion: \(\int_0^{\pi/2}\sqrt{1+\cos x}\,dx=2\).
Reason: For a>0, \(\int dx/\sqrt{x^2+a^2}=\ln|x+\sqrt{x^2+a^2}|+C\).
✅ Step-by-Step Solution
Final Answer: Option (B): Both A and R are true, but R does not correctly explain A.
- On this interval √(1+cos x)=√2 cos(x/2), whose integral is 2√2 sin(x/2). The endpoint value is 2. R is unrelated but correct.
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