`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

f(x) = sin x + int _(- pi //2) ^( pi //2) ( sin x + t cos x) f(t) dt then max value of f (x) :

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____________.

f(x)=int_(0)^( pi)f(t)dt=x+int_(x)^(1)tf(t)dt, then the value of f(1) is (1)/(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 range of y=f(x) is

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

If f(x)=sin x+int_(0)^((pi)/(2))sin x cos tf(t)dt, then int_(0)^((pi)/(2))f(x)dx=

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