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Class 12 Integrals · Assertion Reason1 Marksintegration_properties

Class 12 Maths · Integrals · Assertion Reason #31

Assertion: \(\int_0^{\pi/2}\cos x\,dx=1\). Reason: If f is continuous on [a,b] and Φ′=f there, then \(\int_a^b f(x)dx=\Phi(b)-\Phi(a)\).

✅ Step-by-Step Solution

Final Answer: Option (A): Both A and R are true, and R correctly explains A.
  1. Take Φ=sin x and apply the fundamental theorem: sin(π/2)−sin0=1.

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