" 16."e^(2x+3)

Evaluate the following integrals. (i) 12/((4x - 5)^3) + 6/(3x + 2) + 16 e^(4x + 3) (ii) 15/(sqrt(5x - 4)) - 8 cot (4x + 2) "cosec" (4x + 2) .

The value of x , for which the matrix A = [ {:(e^(x-2) , e^(7+x) ),(e^(2 + x) , e^(2x + 3)):}] is singular, is

Evaluate: int(e^(x))/(sqrt(16-e^(2x)))

Evaluate: int(e^x)/(sqrt(16-e^(2x)))

Evaluate int(12/(4x-5)^(3) + 6/(3x+2)+16e^(4x+3))dx

Evaluate int (e^(-x))/(16 + 9e^(-2x)) dx

Evaluate: int(e^(-x))/(16+9e^(-2x))\ dx

Evaluate: int(e^x)/(sqrt(16-e^(2x))) dx

Evaluate: int(e^(-x))/(16+9e^(-2x))\ dx

The solution of the differential equation (dy)/(dx) = (3e^(2x) + 3e^(4x) )/( e^(x) + e^(-x) ) is a) y= e^(3x) + C b) y=2e^(2x) + C c) y= e^(x) + C d) y= e^(4x) + C