What is the value of ( int_0^ e^{-x^2} dx )?

Discussion

What is the value of the integral ( int_0^ frac{1}{c^x} dx )?
What is the value of ( int_0^ frac{1}{(1+x^4 )} dx )?
( Gamma(m) * Gamma(1-m) = frac{ pi}{sin(m pi)} ). Check if the statement is True or False?
What is the value of ( Gamma( frac{9}{4}) )?
What is the value of ( int_0^1 log(y)^8 dy )?
What is the value of ( int_0^1 frac{x^2}{ sqrt{(1-x^4 )}} )?
What is the value of the integral ( int_0^{ 2} sqrt{tan( ) } , d )?
What is the value of ( int_0^ e^{-x^2} dx )?
What is the value of ( Gamma(5.5) )?
Is the given statement true or false? ( displaystyle beta(m, n) = frac{ Gamma(m). Gamma(n)}{ Gamma(m+n)} )