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

Iff(2-x)=f(2+x)a n df(4-x)=f(4+x) for all xa n df(x) is a function for which int_0^2f(x)dx=5,t h e nint_0^(50)f(x)dx is equal to (a)125 (b) int_(-4)^(46)f(x)dx (c) int_1^(51)f(x)dx (d) int_2^(52)f(x)dx

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

If f((3x-4)/(3x+4))=x+2 , then int f(x)dx is equal to

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

If int f(x)dx=psi(x) , then int x^5f(x^3)dx

If f(a+b-x) =f(x) , then int_(a)^(b) x 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. )

If f(a+x)=f(x), then int_(0)^(na) f(x)dx is equal to (n in N)

If f'(x) = f(x)+ int _(0)^(1)f (x) dx and given f (0) =1, then int f (x) dx is equal to :