[" 1."sin2x],[" 4."(ax+b)^(2)]

If int sqrt2 sqrt (1 + sin x ) dx =- 4 cos (ax +b)+C then the value of (a,b) is :

Integrate the following with respect to x. (i) sin(2x +4) " " (ii) "sec"^2 (3 + 4x) " " (iii) "cosec" (ax + b) cot (ax + b) .

If f(x) = {(ax+1,",",x le (pi)/(2)),(sin x+ b,",",x gt (pi)/(2)):} is continuous at x = (pi)/2 , then

If f(x) = {(ax+1,",",x le (pi)/(2)),(sin x+ b,",",x gt (pi)/(2)):} is continuous at x = (pi)/2 , then

If f(x) = |(a, -1, 0), (ax, a,-1 ) ,(ax^(2), ax, a)| , then f(2x)-f(x) is divisible by 1) a 2) b 3) c ,d ,e 4). none of these

" If "f(x)={[sin2x,,-2<=x<=0],[ax+b,,0<=x<=2]" ,is differentiable everywhere in "(-2,2)," then "(a,b)" equals."

If f(x)={[(sin ax^(2))/(x^(2));x!=0(3)/(4)+(1)/(4a);x=0,quad is continuous everywhere,then a=1(b)a=-1a=(-1)/(4) (d) a=(1)/(4)

sin ^(-1)""(ax)/(C ) +sin ^(-1) ""(bx)/(c ) =sin ^(-1)""x where a^(2)+b^(2)=c^(2) and c ne 0