Changes

<h3>4. Separation</h3>

<h3>4. Separation</h3>

An integral may be rewritten as the sum of two integrals with adjacent limits.

An integral may be rewritten as the sum of two integrals with adjacent bounds.

*<math>\int_{a}^{b}f(x)dx=\int_{a}^{c}f(x)dx+\int_{c}^{b}f(x)dx</math>, <math>c\in(a,b)</math>

*<math>\int_{a}^{b}f(x)dx=\int_{a}^{c}f(x)dx+\int_{c}^{b}f(x)dx</math>, <math>c\in(a,b)</math>

<h3>5. Additive Inversion</h3>

<h3>5. Additive Inversion</h3>

Any integral is equal to the additive inverse of the same integral with reversed upper and lower limits.

Any integral is equal to the additive inverse of the same integral with reversed upper and lower bounds.

*<math>\int_{a}^{b}f(x)dx=-\int_{b}^{a}f(x)dx</math>

*<math>\int_{a}^{b}f(x)dx=-\int_{b}^{a}f(x)dx</math>