If _ -1 ^4 f(x) d x=4 and ₂^4[3-f(x)] d x=7 , then the value of _ -1 ^2 f(x) d x is

Step-by-step solution

₂^4[3-f(x)] d x=7 array rr & [3 x]₂^4- ₂^4 f(x) d x=7 & 6- ₂^4 f(x) d x=7 & ₂^4 f(x) d x=-1...(i) array and _ -1 ^4 f(x) d x=4 _ -1 ^4 f(x) d x= _ -1 ^2 f(x) d x+ ₂^4 f(x) d x 4= _ -1 ^2 f(x) d x-1 _ -1 ^2 f(x) d x=5