Find the value of k if ^k(x) (x) d x= -1 4 ^4(x)+c

Step-by-step solution

To find k Given, ^k(x) (x) d x= -1 4 ^4(x)+C Let I= ^k(x) (x) d x Let x=t - x d x=d t x d x=-d t I=- t^k d t aligned & I= -t^ k+1 k+1 +C & I= - ^ k+1 x k+1 +C aligned = -1 4 ^4(x)+C array rrr & k+1 & =4 & k & =3 array