`2^(2x+2)=4^(2x-1)`

for x > 1 if (2x)^(2y)=4e^(2x-2y) then (1+log_e 2x)^2 (dy)/(dx)

int((x^(- 6)-64)/(4+2x^(- 1)+x^(- 2))*(x^2)/(4-4x^(- 1)+x^(- 2))-(4x^2(2x+1))/(1-2x))dx

Solve for x :4^x-3^(x-1//2)=3^(x+1//2)-2^(2x-1) .

Resolve into partial fractions the expression (8x^(3)-5x^(2)+2x+4)/((2x-1)^(2)(3x^(2)+4))

Resolve (2x^(4)+2x^(2)+x+1)/(x(x^(2)+1)^(2)) into partial fractions.

If sin^(-1)((2x)/(1+x^(2)))+cos^(-1)((1-x^(2))/(1+x^(2)))=4 tan^(-1) x then

find the value of x for which f(x) = ((2x-1)(x-1)^(2)(x-2)^(2))/((x-4)^(2))ge 0.

Simplify each of the products: (2x^4-4x^2+1)(2x^4-4x^2-1)

Simplify: 3/2x^2(x^2-1)+1/4x^2(x^2+x)-3/4x(x^3-1)

The complete set of values of x satisfying the equation x^2. 2^(x+1)+2^(|x-3|+2)=x^2. 2^(|x-3|+4)+2^(x-1) is