If denotes the integeral part of , then _ 0 ^ 1 ( x) ([2 x] ) d x=
Mathematics · JEE Advanced · NTA Exams — Integral Calculus
If 
denotes the integeral part of 
, then
\(\int_{0}^{1} \cos (\pi x) \cos ([2 x] \pi) d x=\)
denotes the integeral part of , then \(\int_{0}^{1} \cos (\pi x) \cos ([2 x] \pi) d x=\)
- \(1\)
- \(-1\)
- \(-\frac{2}{\pi}\)
- \(\frac{2}{\pi}\)
Answer
(D) 2
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- _ 1 / e ^ x t 1+t^ 2 d t+ _ 1 / e ^ x dt t (1+t^ 2 ) =
- Assertion : If 1 f(x) d x=2 log | f (x)|+c, then f(x)= x 2 Reason : When f (x) = x 2 , then 1 f(x) d x= 2 x d…
- Let F ( x ) be an indefinite integral of sin 2 x . Statement-1 : The function F ( x ) satisfies F ( x + π) =…
- d x 5+4 x = ^ -1 (m x 2 )+c then
- Area of the region bounded by the curve y = e x and lines x = 0 and y = e is
- Evaluate : x d x 3 ^ 2 x+4 ^ 2 x
- If stands for the integral part of , then _ 0 ^ 5 / 12 [ x] d x=
- Let f : [–1, 2] → [0, ∞ ) be a continuous function such that f ( x ) = f (1 – x ) for all x ∈ [–1, 2]. Let R_…
More Integral Calculus questions · Browse all practice questions