If f(x)= _ x^ 2 ^ x^ 2 +1 e^ -t^ 2 d t then f ( x ) increases in
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
If \[f(x)=\int_{x^{2}}^{x^{2}+1} e^{-t^{2}} d t\]then f(x) increases in
- (2, 2)
- no value of x
- (0, ∞)
- d
Answer
(B) no value of x
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- _ h 0 2 [ 3 ( 6 +h )- ( 6 +h ) ] 3 h( 3 h- h) is equal to
- Let h ( x ) = f ( x ) – ( f ( x )) 2 + ( f ( x )) 3 for every real number x , Then
- A curve is represented parametrically by the equations x = f ( t )= a ^ ( b ^ t ) and y = g ( t )= b ^ - ( a…
- Let f(x)= 1-x^ n+1 1-x and g (x) = 1 – 2 x + 3 x^ 2 - .........+ (–1) n n +1 x ^ n . Then the constant term…
- If 0 1 1+x + 2 x 1+x^ 2 + 4 x^ 3 1+x^ 4 + 8 x^ 7 1+x^ 8 + =
- Let for all x > 0 . Then
- 112. Let f ( x ) = (1 – x ) 2 sin 2 x + x 2 for all x ∈ R , and let for all x ∈ (1, ∞). Which of the…
- The value of Limit _ x 0 ( x)- x x^ 4 is equal to
More Limit, Continuity and Differentiability questions · Browse all practice questions