" 7.(a) "e^(3x+4)

Integrate the following functions w.r.to 'x' . (i) e^(3x-6) (ii) e^(8-7x) (iii) 1/(6-4x)

Find number of real roots of equation e^(4x) + e^(3x) - 4e^(2x) + e^(x) + 1 = 0 is

Find number of real roots of equation e^(4x) + e^(3x) - 4e^(2x) + e^(x) + 1 = 0 is

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

int e ^( 4x - 7) dx = ( e ^( 4x - 7))/( -7) + c

The coefficient of x^(n) in the expansion of (e^(7x) + e^(x))/e^(3x) is:

If int(2e^(x) +3e^(-x))/(4e^(x)+7e^(-x))dx=(1)/(14)(ux+v log_(e ) (4e^(x)+7e^(-x)))+C , where C is a constant of integration, then u+v is equal to ________.

In the expansion of (e^(7x)+e^(3x))/(e^(5x)) the constant term is

In the expansion of (e^(7x)+e^(3x))/(e^(5x)) the constant term is