1)

(27e9x+e12x)1/3dx is equal to


A) (1/4)(27+e3x)1/3+C

B) (1/4)(27+e3x)2/3+C

C) (1/3)(27+e3x)4/3+C

D) (1/4)(27+e3x)4/3+C

Answer:

Option D

Explanation:

Let I = (27e9x+e12x)1/3dx

= e3x(27+e3x)1/3dx

Put 27+e3x = t    3e3xdx = dt

I = 13t1/3dt

= 13t4/34/3+C

(1/4)(27+e3x)4/3+C