`(i)e^(4x)" "(ii)e^(-5x)" "e^(x^(3))`

(e^(5x)+e^(x))/(e^(3x))=

Integrate the following with respect to x. (i) e^(3x) " " (ii) e^(5 - 4x) " " (iii) 1/((3x - 2)) " " (iv) 1/((5 - 4x)) .

(i) int(e^(x))/(1+e^(x))dx" "(ii) int (e^(x)) /((1+e^(x))^(4))dx

(i) int(e^(x))/(1+e^(x))dx" "(ii) int (e^(x)) /((1+e^(x))^(4))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

int (e^(4x)(dx)/(e^(4x)-5)

Integrate the following with respect to x. (i) (e^(2x) - 1)/(e^x) " " (ii) e^(3x)(e^(2x - 1)) .

int (2e ^ (5x) + e ^ (4x) -4e ^ (3x) + 4e ^ (2x) + 2e ^ (x)) / (e ((2x) +4) (e ^ (2x) - 1) ^ (2)) dx

Evaluate : int dx/(sqrte^(5x) cdot root(4)(e^(2x) + e^(-2x))^3)

(i) int e^(3x) cos 5x dx (ii) int e^(3x) sin 4x dx