If `a=(3^(x-2))/(3^(x-5)),b=(3^(x))/(3^(-x-2))` and `a-b=0,` then `x=?`

If (4x^(2)+5x+6)/(x^(2)(x+3))=(A)/(x)+(B)/(x^(2))+(C )/(x+3) , then 2A+3B+4C= __________.

If f(x)=(x^(3)+3x+5)/(x^(3)-3x+2) in [0, 5], then f is

Value of ((x-1)^(3)+(2x-1)^(3)-(3x2)^(3))/((x-1)(2x-1)(3x-2)) is equal to (A)-3(B)0(C)1(D)3

The factors of x^(4)+x^(2)+25 are (a)(x^(2)+3x+5)(x^(2)-3x+5)(b)(x^(2)+3x+5)(x^(2)+3x-5)(c)(x^(2)+x+5)(x^(2)-x+5) (d) none of these

If A=2x^(3)-3x^(2)-4x+5, B=2x^(2)-x^(3)+1 and C=x^(2)+x+2 , then find the degree of A+2B-C.

If int(x^(3)+4x^(2)-7x+5)/(x+2)dx=(x^(3))/(3)+ax^(2)-11x+b log(x+2)+c, then (a, b)-=

intx((lna^(x/2)/(3a^((5x)/2)b^(3x))+(lnb^b^x)/(2a^(2x)b^(4x)))dx(w h e r ea , b in R^+)i se q u a lto 1/(6lna^2b^3)a^(2x)b^(3x)ln(a^(2x)b^(3x))/e+k 1/(6lna^2b^3)1/(a^(2x)b^(3x))ln1/(e a^(2x)b^(3x))+k 1/(6lna^2b^3)1/(a^(2x)b^(3x))ln(a^(2x)b^(3x))+k -1/(6lna^2b^3)1/(a^(2x)b^(3x))ln(a^(2x)b^(3x))+k