Statement - 1: f(x) is symmetrical about x = 2, then _ 2-a ^ 2+a f(x) d x is equal to 2 _…
Mathematics · JEE Main · NTA Exams — Integral Calculus
Statement - 1: f(x) is symmetrical about x = 2, then
\(\int_{2-a}^{2+a} f(x) d x \text { is equal to } 2 \int_{2}^{2+a} f(x) d x .\)
Statement - 2: If f(x) is symmetrical about x = b, then
\(f(b-a)=f(b+a) \forall a \in R\).
- Both the statements are true and Statement - 2 is the correct explanation of Statement - 1
- Both the statements are true but Statement - 2 is not the correct explanation of Statement - 1
- Statement - 1 is true and Statement - 2 is false
- Statement - 1 false and Statement - 2 is true
Answer
(A) Both the statements are true and Statement - 2 is the correct explanation of Statement - 1
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- Statement - 1: _ 0 ^ ^ 2 x ^ -1 t d t+ _ 0 ^ cas ^ 2 x ^ -1 t d t= 4 for all x. Statement - 2: d d x _ ^ (x)…
- If 1-x^ 2 x^ 4 d x=A(x) ( 1-x^ 2 )^ m +C , for a suitable chosen integer m and a function A(x), where C is a…
- If f( a + b +1- x )= f ( x ) , for all x, where a and b are fixed positive real numbers, then 1 (a+b) _ a ^ b…
- The value of _ x 0 _ 0 ^ x^ 2 ^ 2 t d t x x is
- _ 0 ^ 10 e ^ x-[x] d x ([ ] denotes GIF) is equal to
- _ n [ 1 n + n^ 2 (n+1)^ 3 + n^ 2 (n+2)^ 3 + .+ 1 8 n ] is equal to
- The value of _ 0 ^ 1 x^ 4 +1 x^ 2 +1 d x is,
- e^ x (1-x)^ 2 (1+x^ 2 )^ 2 d x is equal to
More Integral Calculus questions · Browse all practice questions