# Error function help

by vtnsx
Tags: error, function
 P: 3 i've been trying to prove this question, but so far, there is no successs... http://members.shaw.ca/brian103/theerrorfunction.jpg
 Sci Advisor HW Helper P: 3,149 Does this help? $$\int_a^b = \int_a^0+ \int_0^b$$ $$\frac {d}{dx} \int_0^x f(x') dx' = f(x)$$
HW Helper
Thanks
P: 9,818
 Quote by vtnsx 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

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