let g be the function given by g(x)=intergral from 0 to x of sin(t^2)dt for -1

Question

let g be the function given by g(x)=intergral from 0 to x of sin(t^2)dt for -1<x<3. On which of the following intervals is g decreasing?

amriju · Answer

find its derivative...then find where its negative..its decreasing there...for differentiation use newton leibnitz rule..:variable limits form http://en.wikipedia.org/wiki/Leibniz_integral_rule

anonymous · Answer

hey thanks man. i really appreciate it

anonymous · Answer

Also note that $$\int_0^x \sin (t^2)dt=F(x)-F(0) $$
so if you need to differentiate it with respect to $x$ you will be left with $f(x)=\sin(x^2)$ =g'(x)

amriju · Answer

u're welcome..:)

anonymous · Answer

ahh. good point spacelimbus.