Integrate 4x^3 + 6x^2 +4x + 3

Each term is integrated according to the formula:

ax^b --> (a/(b+1))x^(b+1)

A constant k integrates to kx 

Since this is indefinite integration, an additional term of +c must be added to the expression.

Therefore in this example, the expression integrates to:

x⁴ + 2x³ + 2x² +3x + c