How do you prove properties of the error function?

[vtnsx]

i've been trying to prove this question, but so far, there is no successs...
http://members.shaw.ca/brian103/theerrorfunction.jpg

 

[Tide]

Does this help?

$$\int_a^b = \int_a^0+ \int_0^b$$

$$\frac {d}{dx} \int_0^x f(x') dx' = f(x)$$

 

[ehild]

i've been trying to prove this question, but so far, there is no successs...
http://members.shaw.ca/brian103/theerrorfunction.jpg

a. Use the additive property of definite integral.

$$\int _0^bf(t)dt=\int_0^af(t)dt+\int_a^bf(t)dt$$

b. Remember that the differential quotient of definite integral with respect to the upper bound is the integrand itself.

$$\big[\int _0^xf(t)dt\big]' = f(x)$$


ehild