1.

Find ∫x2 ex^3 dx.

Answer»

I = ∫x2.ex^3 dx

= (1/3)∫ez dz = (1/3) e2 + c

put, x3 = z

on diff, 3x2 dx = dz

x2 dx = dz/3

= (1/3) ex^3 + c



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