[" 65."4x^(7)+7x],[" 66.Evaluate "{(999)^(2)-1}]

Evaluate int(1)/(7-4x-2x^(2))dx .

1+ 4x^(2)+7x^(4)+...

Evaluate: int(x^(2)-1)/(x^(4)-7x^(2)+1) dx

Evaluate: int(x^(2)-1)/(x^(4)-7x^(2)+1) dx

Without solving, find the nature of the roots of the following equations: (i) 3x^(2)-7x+5=0 . (ii) 4x^(2)+4x+1=0 . (iii) 3x^(2)+7x+2=0 . (iv) x^(2)+px-q^(2)=0 .

Evaluate : (2)x (1)/(4)-[(-18)/(7)x(-7)/(15)

If f(x)=(7)/(4)x^(2), then find f'((1)/(7))

If x ^(3) - 7x + 4 is divided by (x-1), (x +2) and (2x +1), then the find the respective remainders.