For a real number x let [x] denote the largest number less than or equal to x. For ` x in R` let f (x)=[x] `sin pix`. Then

for a real number x, let [x] denote the largest unteger less than or equal to x , and let {x} = x-[x] . The number of solution x to the equation [x] {x} =5 with 0 le xle 2015 is -

For a real number x, let [x] denote the largest integerless than or equal to x, and let {x}=x-[x]. The number ofsolutions x to the equation [x]{x}=5 with o

For a real number x, let [x] denote the greatest integer less than or equal to x. Let R rarr R be defined as f(x)=2x+[x]+sin x cos x then f is

For any real number x, let [x] denote the largest integer less than or equal to x. If int_0^10 [sqrt((10x)/(x+1))]dx then the value of 9I is

For a real number x, let [x] denote the greatest integer less than or equal to x. Let f: R -> R be defined as f(x)= 2x + [x]+ sin x cos x then f is

For a real number x let [x] denote the largest integer less than or equal to x and {x}=x-[x] . The possible integer value of n for which int_(1)^(n)[x]{x}dx exceeds 2013 is

For a real number x let [x] denote the largest integer less than or equal to x and {x}=x-[x] . The possible integer value of n for which int_(1)^(n)[x]{x}dx exceeds 2013 is

For a real number x let [x] denote the largest integer less than or equal to x and {x}=x-[x] Let n be a positive integer. Then int_0^n cos(2pi)[x]{x})dx is equal to

For a real number x let [x] denote the largest integer less than or equal to x and {x}=x-[x] Let n be a positive integer. Then int_(0)^(n)cos(2 pi)[x]{x})dx is equal to