Integral of e^(-x^2)
Have it more convenient to place the integral of here:
See more below to know how I get it.
First,transform your raw indefinite integral to get a suitable function f(x);
Then,create a function sequence by this rule:,(Note that all the integration constants in this step are omitted);
After that,judge whether limit exists or not.If it does,let it be w(x)+C;if doesn't,it means that f(x) is not suitable.
Finally,.
Example Solve indefinite integral .
The raw indefinite integral is so simple that it's suitable to directly use it as ,thus .,so ,,....As for ,consider its integrand (Note:regard as a constant that has nothing to do with the limit),so the original limit value equals C.After all this,I can write down the solution:.