1. ## integration help

can i do integration of a function in x with respect to t range of t in terms of x and x range not given

2. ## Re: integration help

you'll have to rephrase this one. I have no idea what you're asking.

i mean

4. ## Re: integration help

Originally Posted by prasum
i mean

you can. I doubt it's what you're after

$\displaystyle{\int_0^x}e^{-x^2}~dt=e^{-x^2}\displaystyle{\int_0^x}~dt=e^{-x^2}t \left |_0^x\right.=xe^{-x^2}$

5. ## Re: integration help

yeah this only

6. ## Re: integration help

if i want to solve the value for x for which the above integral is 0 what should it be

7. ## Re: integration help

Originally Posted by prasum
if i want to solve the value for x for which the above integral is 0 what should it be
$x e^{-x^2}=0$

$e^{-x^2} > 0~~\forall x \in \mathbb{R} \Rightarrow \\ \\ x e^{-x^2}=0\Rightarrow x=0$

8. ## Re: integration help

if the integral is e^(-x^2) dx from 0 to x and if this integral is 0 what will be the value of x from newton raphsons method

9. ## Re: integration help

Originally Posted by prasum
if the integral is e^(-x^2) dx from 0 to x and if this integral is 0 what will be the value of x from newton raphsons method
this is a completely different problem. Now you are integrating with respect to x, not t. If you are integrating with respect to x it makes no sense to have x as a limit of integration.

What I believe you mean is

$\displaystyle{\int_0^x}e^{-t^2}~dt$

is this correct?

10. ## Re: integration help

why cant e^(-x^2) dx with limit x come

11. ## Re: integration help

Originally Posted by prasum
why cant e^(-x^2) dx with limit x come
You have two different x's, so it's bound to confuse someone - most likely yourself.

- Hollywood