Calculating the integral of a polynomial is the inverse of calculating the derivative of a polynomial.

In mathematical symbols, ∫f(x)dx = F(x) + C

The integral of the term ax^{n}
is {a /(n+1)} * x^{(n+1)}

The integral of a polynomial that consists of more than one term is the sum of the integrals of all the terms. For example:

If f(x) = x ^{2} + 4

then F(x) =∫(x ^{2} + 4)dx = (1/3)x^{3} + 4x + C

If f(x) = 5x ^{4} + 4x^{3}

then F(x) =∫(5x ^{4} + 4x^{3})dx = x^{5} + x^{4} + C

Your interactive polynomial is:

In this case,

Therefore,

Simplified,