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Integral of a Polynomial on a Symmetric Interval
For:
$$P(x)=P_e(x)+P_o(x)$$
where $$P_e$$ is even and $$P_o$$ is odd:
$$\int_{-a}^{a}P(x)\,dx=2\int_0^aP_e(x)\,dx$$
Usage
- Used to eliminate the odd part of a polynomial immediately.
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Integral of a Polynomial on a Symmetric Interval
For:
$$P(x)=P_e(x)+P_o(x)$$
where $$P_e$$ is even and $$P_o$$ is odd:
$$\int_{-a}^{a}P(x)\,dx=2\int_0^aP_e(x)\,dx$$
Usage
- Used to eliminate the odd part of a polynomial immediately.
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