[" 15.(i) "e^(x)sin5x],[" (ii) "e^(6x)cos3x]

e^(6x)"cos"3x

Integrate the following with respect to x. e^(-3x)sin2x (ii) e^(-4x)sin2x (ii) e^(-3x)cosx

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

Find the second derivative of: (i)x sin x" "(ii)e^(2x)cos 3x" "(iii)x^(3)logx

Evaluate: (i) int x^(3)sin x^(4)dx( ii) int e^(-x)cos ec^(2)(2e^(-x)+5)dx( iii) int x^(2)(tan^(-1)x^(3))/(1+x^(6))dx

Differentiate w.r.t x (i) y=e^(x)sin^(3)xcos^(4)x (ii) y=x*e^(xsinx)

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

int(e^(x)-sin x)/(cos x+e^(x))dx

Ingegrate the following with respect to x. (i) x^2 e^(5x) " " (ii) x^3 cos x " " (iii) x^3e^-x .