Let `int_a^b (f(a+b-x))/(f(a+b-x)+f(a+b-(a+b-x)))dx=4`, then (A) `a=-1,b=7` (B) `a=0,b=8` (C) `a=-10,b=2` (D) `a=10,b=18`

Prove that: int_a^b(f(x))/(f(x)+f(a+b-x))dx=(b-a)/2

If int_(a)^(b)(f(x))/(f(x)+f(a+b-x))dx=10 , then

Ifint_a^b(f(x))/(f(x)+f(a+b-x))dx=10 ,t h e n b=22 ,a=2 (b) b=15 ,1=-5 b=10 ,a=-10 (d) b=10 ,a=-2

Let f(x)={(x-4)/(|x-4|a+b)+a ,x 0 Then, f(x) is continuous at x=4 when (a) a=0,b=0 (b) a=1,b=1 (c) a=-1,b=1 (d) a=1,b=-1

Let f(x)={(x-4)/(|x-4|)+a ,x 4 Then f(x) is continous at x=4 when a=0,b=0 b. a=1,b=1 c. a=-1,b=1 d. a=-1,b=-1

If f(x)={(|x|-3 when x = 1) & g(x)={2-|x| when x = 2 . if h(x)=f(x)+g(x) is discontinuous at exactly one point, then - (a). a=-3, b=0 (b). a=-3, b=-1 (c) a=2, b=1 (d) a=0, b=1

If | int_a ^b f(x) dx| = int_a ^b |f(x)| dx, a lt b , then f(x) = 0 has

If | int_(a)^(b) f(x)dx|= int_(a)^(b)|f(x)|dx,a ltb,"then " f(x)=0 has

Prove that int_(a)^(b)f(x)dx=(b-a)int_(0)^(1)f((b-a)x+a)dx

If f(x)=(x^(2)+3x+2)(x^(2)-7x+a) and g(x)=(x^(2)-x-12)(x^(2)+5x+b) , then the value of a and b , if (x+1)(x-4) is H.C.F. of f(x) and g(x) is (a) a=10 : b=6 (b) a=4 : b=12 (c) a=12 : b=4 (d) a=6 : b=10