Assertion : 1 _ 0 ^ / 2 x x 2 Reason : If is continuous in and m and are greatest and…
Mathematics · JEE Advanced · NTA Exams — Integral Calculus
Assertion : \(1 \leq \int_{0}^{\pi / 2} \frac{\sin x}{x} \leq \frac{\pi}{2}\)
Reason : If
is continuous in 
and m and 
are greatest and least value of 
in 
, then \(l(b-a) \leq \int_{a}^{b} f(x) d x \leq m(b-a)\)
Reason : If
is continuous in and m and are greatest and least value of in , then \(l(b-a) \leq \int_{a}^{b} f(x) d x \leq m(b-a)\)- 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
(A) If Assertion is true, Reason is true, Reason is a correct explanation for Assertion.
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- If _ x 0 f(x) x^ 2 exists finitely and _ x 0 (1+x+ f(x) x )^ 1 / x =e^ 3 where f ( x ) = a x 2 +b x +c then…
- If I= _ 0 ^ / 2 e^ - x d x where (0, ), then
- _ - ^ 2 x(1+ x) 1+ ^ 2 x d x is
- Evaluate : x d x (2 x+A)+ A
- Using integral _ 0 ^ / 2 ( x) d x =- _ 0 ^ / 2 ( x) d x=- 2 2 _ 0 ^ / 2 ( x) d x=0 and _ 0 ^ / 4 (1+ x) d x=…
- If I= _ 0 ^ 1 e^ t t+1 d t then _ a-1 ^ a e^ -t t-a-1 d t=
- If I= ( 2 ) d then I equals
- Let the straight line x = b divide the area enclosed by y = (1 – x ) 2 , y = 0 and x = 0 into two parts R 1…
More Integral Calculus questions · Browse all practice questions