1. ## integral

integral of e^t^2

2. ## Re: integral

Originally Posted by homerb
integral of e^t^2
The anti-derivative does not exist as an elementary function. Why do you need it? Please post the whole question.

3. ## Re: integral

Originally Posted by homerb
integral of e^t^2
$\int e^{t^2} \, dt$

this integral has no elementary, closed-form antiderivative.

4. ## Re: integral

http://www.mathhelpforum.com/math-he...al-190834.html

5. ## Re: integral

Find fx and fy

f(x,y)= integral e^t^2 from y to x

6. ## Re: integral

Originally Posted by homerb
Find fx and fy

f(x,y)= integral e^t^2 from y to x
Never would have guessed this from OP. (Still a bit ambiguous, but assuming the following.)

$f(x,y)=\int_y^x\ e^{(t^2)}\,dt$

Use the Fundamental Theorem of Calculus to find $\frac{\partial f(x,y)}{\partial x}\,, \ \ \frac{\partial f(x,y)}{\partial y}\,.$

7. ## Re: integral

Originally Posted by SammyS
Never would have guessed this from OP. (Still a bit ambiguous, but assuming the following.)

$f(x,y)=\int_y^x\ e^{(t^2)}\,dt$

Use the Fundamental Theorem of Calculus to find $\frac{\partial f(x,y)}{\partial x}\,, \ \ \frac{\partial f(x,y)}{\partial y}\,.$
Indeed. Yet again we see what happens when the OP only posts what s/he thinks is necessary rather than posting the whole question.