Q. For every integer n, let an and bn be real numbers. Let function `f:R->R` be given by a `f(x)={a_n+sin pix, for x in [2n,2n+1]`, `bb_n+cos pix, for x in (2n+1,2n)` for all integers n.

Q. For every integer n, let a_(n) and b_(n) be real numbers. Let function f:R->R be given by a f(x)={a_n+sin pix, for x in [2n,2n+1] , b_n+cos pix, for x in (2n+1,2n) for all integers n.

Q. For every integer n, let a_(n) and b_(n) be real numbers. Let function f:R->R be given by a f(x)={{:(a_n+sin pix, for x in [2n,2n+1]), (b_n+cos pix, for x in (2n+1,2n)):} for all integers n.

For every integer n, let a_n and b_n be real numbers Let function f : R rarr R be given by f(x)={(a_n+ sin pi x, "for" x in [2n, 2n+1]), (b_n+cos pi x, "for" x in (2n-1,2n)):} for all integers n If f is continuous, then which of the following hold(s) for all n ?

Q.For every integer n,let an and bn be real numbers.Let function f:R rarr R be given by a f(x)={a_(n)+sin pi x,f or x in[2n,2n+1]-n+cos pi x,f or x in(2n+1,2n) for all integers n.

suppose for every integer n, int_n^(n+1)f(x)dx=n^2 then the value of int_(-2)^4 f(x)dx is

For every integer n, int_(n)^(n+1)f(x)dx=n^(2) , then the value of int_(0)^(5)f(x)dx=

For every integer n, int_(n)^(n+1)f(x)dx=n^(2) , then the value of int_(0)^(5)f(x)dx=

Let n be positive integer and a function f be defined as f(n)={(0 , when n=1),(r([n/2])+1,when n>1):} then find f(35).