`f(x)=sinx+int_(-pi//2)^(pi//2)(sinx+tcosx)f(t)dt`
The range of `f(x)` is

f(x)=sinx+int_(-pi//2)^(pi//2)(sinx+tcosx)f(t)dt The value of int_(0)^(pi//2) f(x)dx is

f(x)=sinx+int_(-pi//2)^(pi//2)(sinx+tcosx)f(t)dt f(x) is not invertible for

Consider a real valued continuous function f such that f(x)=sinx + int_(-pi//2)^(pi//2) (sinx+t(f(t))dt . If M and m are maximum and minimum values of function f , then the value of M//m is____________.

y=f(x) satisfies the relation int_(2)^(x)f(t)dt=(x^(2))/2+int_(x)^(2)t^(2)f(t)dt The range of y=f(x) is

The value of int_(-pi)^(pi) sinx f(cosx)dx is

f(x) satisfies the relation f(x)-lamda int_(0)^(pi//2)sinxcostf(t)dt=sinx If f(x)=2 has the least one real root, then

Find f (x) if f(x)=lambdaint_(0)^(pi//2)sinxcostf(t)dt+sinx where lambda is constant ne 2 .

y=f(x) satisfies the relation int_(2)^(x)f(t)dt=(x^(2))/2+int_(x)^(2)t^(2)f(t)dt The value of x for which f(x) is increasing is

Let f(x) be a function defined by f(x)=int_(1)^(x)t(t^2-3t+2)dt,x in [1,3] Then the range of f(x), is

If f(x)=(sin^2 x+4sinx+5)/(2sin^2x+8sinx+8) then range of f(x) is