Answer for Calculus: Substitution

u	=	x³+4
du dx	=	3x²
dx	=	1 3x²	du

Thus,

3x²e^x³+4 dx
=
3x²e^u 1

3x² du
(substituting for u and dx)

=
e^u du
(canceling the 3x²)

=
e^u + C
(evaluate the integral)

=
e^x³+4 + C
(substitute back)

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