A function `f(x)` satisfies `f(x)=sinx+int_0^xf^(prime)(t)(2sint-sin^2t)dt` is

A function f(x) satisfies f(x)=sin x+int_(0)^(x)f'(t)(2sin t-sin^(2)t)dt is

A function f(x) satisfies f(x)=sinx+int_(0)^(x)f'(t)(2sint-sin^(2)t)dt Then f(x) = (a) (x)/(1- sin x) " " (b) (sinx)/(1-sinx) (c) (1-cos x)/(cos x) " " (d) (tanx)/(1- sin x)

If a differentiable function f(x) satisfies f(x)=int_(0)^(x)(f(t)cos t-cos(t-x))dt then value of (1)/(e)(f''((pi)/(2))) is

A Function f(x) satisfies the relation f(x)=e^(x)+int_(0)^(1)e^(x)f(t)dt* Then (a)f(0) 0

A derivable function f(x) satisfies the relation f(x)=int_(0)^(1)xf(t)dt+int_(0)^(x)x^(2)f(t)dt. The value of (2f'(1))/(f(1)) is

A continuous function f(x) satisfies the relation f(x)=e^x+int_0^1 e^xf(t)dt then f(1)=

A continuous function f(x) satisfies the relation f(x)=e^x+int_0^1 e^xf(t)dt then f(1)=

A Function f(x) satisfies the relation f(x)=e^x+int_0^1e^xf(t)dtdot Then (a) f(0) 0

A Function f(x) satisfies the relation f(x)=e^x+int_0^1e^xf(t)dtdot Then (a) f(0) 0

A Function f(x) satisfies the relation f(x)=e^x+int_0^1e^xf(t)dtdot Then (a) f(0) 0