If `f(4-x)=f(4+x)` and `f(8-x)=f(8+x)` and `f(x)` is a function for which `int_0^8 f(x)dx=5`. Then `int_0^200 f(x)dx` is equal to

If f(2-x)=f(2+x) and f(4-x)=f(4+x) for all x and f(x) is a function for which int_(0)^(2)f(x)dx=5, then int_(0)^(50)f(x)dx is equal to 125 (b) int_(-4)^(46)f(x)dx int_(1)^(51)f(x)dx(d)int_(2)^(52)f(x)dx

If int f(x)dx=F(x), then int x^(3)f(x^(2))dx is equal to:

If int f(x)dx=f(x), then int{f(x)}^(2)dx is equal to

If f(x) = f(a+x) and int_(0)^(a) f(x) dx = k, "then" int _(0)^(na) f(x) dx is equal to

Prove that int_-2^2 f(x^4)dx=2int_0^2 f(x^4)dx

int_(0)^(a)f(2a-x)dx=m and int_(0)^(a)f(x)dx=n then int_(0)^(2a)f(x)dx is equal to

Let f (2-x) =f (2+xand f (4-x )= f (4+x). Function f (x) satisfies int _(0)^(2) f (x) dx=5.if int _(0) ^(50) f (x) dx=l. Find [sqrtl -2]. (where [.] denotes greatest integer function. )

Let inte^(x){f(x)-f'(x)}dx=phi(x) . then, inte^(x)f(x)dx is equal to

Let f:R rarr R be a function such that f(2-x)=f(2+x) and f(4-x)=f(4+x), for all x in R and int_(0)^(2)f(x)dx=5. Then the value of int_(10)^(50)f(x)dx is