If `f(pi) =2 and int_0^pi (f(x) + f''(x)) sinx dx =5` then f(0) is equal to

If f(pi)=2 and int_(0)^(pi)(f(x)+f''(x))sin x dx=5 , then f(0) is equal to ( it is given that f(x) is continuous in [0,pi] )

If f(pi)=2 and int_(0)^(pi)(f(x)+f''(x))sin x dx=5 , then f(0) is equal to ( it is given that f(x) is continuous in [0,pi] )

If f(pi) = 2 int_0^pi (f(x)+f^(x)) sinx dx=5 , then f(0) is equal to (it is given that f(x) is continuous in [0,pi]) . (a) 7 (b) 3 (c) 5 (d) 1

If f(pi) = 2 and int_0^(pi) [f(x)+f^('')(x)] sin x dx = 5 then f(0)

If int_(0)^(pi) x f (sin x) dx = A int _(0)^(pi//2) f(sin x) dx , then A is equal to

If f(x) is continuous in [0,pi] such that f(pi)=3 and int_0^(pi/2)(f(2x)+f^(primeprime)(2x))sin2x dx=7 then find f(0).

int_0^pi x f(sin x)dx is equal to

If f(x) = f(pi + e - x) and int_e^(pi) f(x) dx = 2/(e + pi) , then int_e^(pi) xf(x) dx is equal to

If int_0^pi x f (sin x)dx = A int_0^(pi//2) f (sin x) dx , then A is :