If `sin^(2)A=x` and `underset(r=1)overset(4)Pi sin (r A)=ax^(2)+bx^(3)+cx^(4)+dx^(5)`, then the value of `10a-7b+15c-5d` must be

If sin^(2)A=x and Pi sin(rA)=ax^(2)+bx^(3)+cx^(4)+dx^(5) then value of a+b+c+d is

If underset(r=1)overset(10)sum r! (r^(3)+6r^(2)+2r+5)=alpha (11!) , then the value of alpha is equal to .......

If int(lnx)/(x^(3))dx=-(lnx)/(ax^(2))-(1)/(bx^(2))+c then the value of a+b must be _______

L=lim_(x rarr0)(sin(sin x)-sin x)/(ax^(5)+bx^(3)+c)=-((1)/(12)) The value/values of a is

int(x sqrt(x)-1)/(sqrt(x)-1)dx=ax^(2)+bx^(3/2)+cx+d then ascending order of a,b,c is

Suppose that f(x) is a function of the form f(x)=(ax^(8)+bx^(6)+cx^(4)+dx^(2)+15x+1)/(x), (x ne 0)." If " f(5)=2 , then the value of f(-5) is _________.

The value of underset((-pi)/(2))overset((pi)/(2))(int) (1)/(1 + e^(sin x)) dx is :

If +-2,quad 3 are the roots of ax^(4)+bx^(3)+cx^(2)+dx+e=0 then the roots of a(x-1)^(3)+b(x-1)^(2)+c(x-1)+d=0

If int(x sqrt(x)-1)/(sqrt(x)-1)dx=ax^(2)+bx^(3/2)+cx+d then ascending order of a,b,c is