Definite Integral

• The definite integral

  • It is defined as the area from x value a, to x value b expressed by the integral ${\int }_a^{b}f(x)dx$

    • if it is a shape ie. triangle, square, semicircle we can just use its area formula, as they are defined as the same thing

  • You can get the integral from a to c by using two integrals added to each other

    • ${\int }_a^{c}f(x)dx={\int }_a^{b}f(x)dx+{\int }_b^{c}f(x)dx$

  • The integral from a to b will be the same as |b to a|

  • ${\int }_a^{b}f(x)dx=-{\int }_b^{a}f(x)d$

    • We can use Even Odd Functions

      • to solve really complicated a→b integrals