" (ii) "e^(2x)cos3x

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

e^(3x)cos 2x

e^(-3x) cos x

Integrate : int e^(2x) cos3x dx

Evaluate: int e^(2x)cos(3x+4)dx

If y = e^(2x)(A cos 3x - B sin 3x) , then y satisfies

Delta (x) = det [[sin2x, e ^ (x) sin x + x cos x, sin x + x ^ (2) cos xcos x + sin x, e ^ (x) + x, 1 + x ^ ( 2) e ^ (x) cos x, e ^ (2) x, e ^ (x)]]

Delta (x) = det [[sin2x, e ^ (x) sin x + x cos x, sin x + x ^ (2) cos xcos x + sin x, e ^ (x) + x, 1 + x ^ ( 2) e ^ (x) cos x, e ^ (2) x, e ^ (x)]]