`Ifintxe^xcosx dx=a e^x(b(1-x)sinx+c xcosx)+d ,t h e n` `a=1,b=1,c=-1` `a=1/2,b=-,c=1` `a=1,b=-1,c=1` `a=1/2, b=1,c=-1`

If f(x)=f(x)={(sin(a+1)x+sinx)/(x^x c),x<0(sqrt(x+b x^2)-sqrt(x))/(b xsqrt(x)),xgeq0,x-0 is continuous at x=0,t h e n a=-3/2,b=0,c=1/2 (b) a=-3/2,b=1,c=-1/2 a=-3/2,b in R-[0],c=1/2 (d) none of these

int(ln(x+sqrt(1+x^(2))))/(sqrt(1+x^(2)))dx=a sqrt(1+x^(2))ln(x+sqrt(1+x^(2)))+bx+c, then (A)a=1,b=-1(B)a=1,b=1(C)a=-1,b=1 (D) a=-1,b=-1

If the line y=x touches the curve y=x^2+b x+c at a point (1,\ 1) then b=1,\ c=2 (b) b=-1,\ c=1 (c) b=2,\ c=1 (d) b=-2,\ c=1

int(xsinx)/(xcosx-sinx-1)dx="_______"+c

The values of b and c for which the identity of f(x+1)-f(x)=8x+3 is satisfied,where f(x)=bx^(2)+cx+d, are b=2,c=1 (b) b=4,c=-1b=-1,c=4(d)b=-1,c=1

Prove: |(1,a, b c),(1,b ,c a),(1,c ,a b)|=|(1,a ,a^2),( 1,b,b^2),( 1,c,c^2)|

If 1/(b-a) +1/(b-c)=1/a+1/c , then a,b and c are in