" 1"quad " 35."(1)/(3)x^(2)-2x-9

Evaluate int(x-1)/(x^(2)-2x-35)dx .

For x in(0,1) arrange f_(1)(x) = (1)/(9-x^(2)), f_(2)(x) = (1)/(9-2x^(2)) and f_(3)(x) = (1)/(9-x^(2)-x^(3)) in ascending order and hence prove that 1/6 ln2 lt int_(0)^(1)(1)/(9-x^(2)-x^(3)) dx lt (1)/(6sqrt(2)) ln 5 .

For x in(0,1) arrange f_(1)(x) = (1)/(9-x^(2)), f_(2)(x) = (1)/(9-2x^(2)) and f_(3)(x) = (1)/(9-x^(2)-x^(3)) in ascending order and hence prove that 1/6 ln2 lt int_(0)^(1)(1)/(9-x^(2)-x^(3)) dx lt (1)/(6sqrt(2)) ln 5 .

Fill in the blanks from the given options : (1)/(2) , 9 (6x - 9) (3x^(2) - 9x + 5)^(8), 49, -2, (1)/(2) [log(sin x)]^(2) + c, (1)/(x), 10 , onto (d)/(dx) [3x^(2) - 9x+5]^(9) = ………

Evaluate int (x-1)/(x^2-2x-35) dx

int_(1)^(2)(3x)/(9x^(2)-1)dx

the term independent of x in (1+x +2x^2)((3x^2)/2-1/(3x))^9 is

log_e ((1+3x)/(1-2x)) is equal to a) -5x-(5x^2)/2-(35x^3)/3-... b) -5x+(5x^2)/2-(35x^3)/3-... c) 5x-(5x^2)/2+(35x^3)/3-... d) 5x+(5x^2)/2+(35x^3)/3-...