Question

integrate 1/2 sin ( π.x^2)

Answer 1

You arn't going to get anywhere with that. No closed form

Answer 2

this is full question : evaluate lim S(x)/x^3 if S(x)= integrate 0 from x ( sin (pi.t^2) dt
,,

Answer 3

Ah I see. If x is headed zero, you have an indererminate form of 0/0. Use L'Hopital's rule
Fundemental theorem of calculus will help with the numerator

Answer 4

ermmm,, how do i integrate the numerator ?

Answer 5

You don't integrate. As by Lhopital's rule you need to differentiate. Read up on Lhopital if you don't remember
You will end up with something of form.
\[\frac{d}{dx}\int_{a}^{x}f(t)dt\]
In the numerator.
This can be evaluated using the fundimental theorem of calculus (usually called the first one)

Answer 6

ohh thank u very much for ur help :D
kinda help me much in solving my question

Answer 7

Sure thing