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Line 34:
Line 34: − <math>\int^\infty_{-\infty} f(x)=g(x)+C</math>+ − − In the second case C is the constant of integration. As this is very common <math>\infty</math> and <math>-\infty</math> are usually excluded. This works for the kind of functions encountered in late high school and early university mathematics. It is, however, an incomplete method. For example one cannot write the anti-derivative of <math>e^{x^{2}}</math> in terms of familiar functions (such as trigonometric functions, exponentials, and logarithms) and function operations.
→Anti-derivative: removed meaningless equation and erroneous use of improper integral
<math>\int_a^b f(x)dx=g(b)-g(a)</math>
<math>\int_a^b f(x)dx=g(b)-g(a)</math>
This works for the kind of functions encountered in late high school and early university mathematics. It is, however, an incomplete method. For example one cannot write the anti-derivative of <math>e^{x^{2}}</math> in terms of familiar functions (such as trigonometric functions, exponentials, and logarithms) and function operations.
==Riemann intergral==
==Riemann intergral==