If `f(0)=1,f(2)=3,f^'(2)=5`,then find the value of `int_0^1xf^('')(2x)dx`

If f(0)=1,f(2)=3,f'(2)=5, then find the value of int_(0)^(1)xf''(2x)dx

If f(0)=1,f(2)=3,f'(2)=5 ,then find the value of I_(1)=int_(0)^(1)xf''(2x)dx

If f(0)=1,f(2)=3,f(2)=5,t h e nfin dt h ev a l u eof int_0^1xf"(2x)dx

f(0)=1 , f(2)=e^2 , f'(x)=f'(2-x) , then find the value of int_0^(2)f(x)dx

If f(0)=0, f(3)=3 and f'(3)=4 , then the value of int_(0)^(1)xf'' (3x)dx is equal to

If f(0)=0, f(3)=3 and f'(3)=4 , then the value of int_(0)^(1)xf'' (3x)dx is equal to

If f(0)=1,f(2)=3,f'(2)=5 and f'(0) is finite,then int_(0)^(1)xf''(2x)dx is equal to (A) zero (B) 1(C)2(D) none of these

If f(0)=1,f(2)=3,f'(2)=5 ,then the value of the definite integral int_(0)^(1)xf''(2x)dx is

Let f(x) be a continuous and periodic function such that f(x)=f(x+T) for all xepsilonR,Tgt0 .If int_(-2T)^(a+5T)f(x)dx=19(agt0) and int_(0)^(T)f(x)dx=2 , then find the value of int_(0)^(a)f(x)dx .

Let f(x) be a continuous and periodic function such that f(x)=f(x+T) for all xepsilonR,Tgt0 .If int_(-2T)^(a+5T)f(x)dx=19(ag0) and int_(0)^(T)f(x)dx=2 , then find the value of int_(0)^(a)f(x)dx .