Assertion : _ 0 ^ x x ^ 2 x d x= 2 _ 0 ^ x ^ 2 x d x Reason : _ a ^ b x f(x) d x= a+b 2 _…
Mathematics · JEE Advanced · NTA Exams — Integral Calculus
Assertion : \(\int_{0}^{\pi} x \sin x \cos ^{2} x d x=\frac{\pi}{2} \int_{0}^{\pi} \sin x \cos ^{2} x d x\)
Reason : \(\int_{a}^{b} x f(x) d x=\frac{a+b}{2} \int_{a}^{b} f(x) d x\)
Reason : \(\int_{a}^{b} x f(x) d x=\frac{a+b}{2} \int_{a}^{b} f(x) d x\)
- If Assertion is true, Reason is true, Reason is a correct explanation for Assertion.
- If Assertion is true, Reason is true, Reason is not a correct explanation for Assertion.
- If Assertion is true, Reason is false.
- If Assertion is false, Reason is true.
Answer
(C) If Assertion is true, Reason is false.
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