Solve Integration by Parts: Help with First Steps

[Millhawk]

Homework Statement

I have tried this question a number of times, but to no avail. Could somebody please help with the first couple of lines, thank you.

$$\int_0^x2cte^{-ct^2}dt$$ where $$c$$ is a positive constant

Homework Equations

The Attempt at a Solution

Let u=t and let dv=$$2ce^{-ct^2}dt$$

 

[olgranpappy]

Homework Statement

I have tried this question a number of times, but to no avail. Could somebody please help with the first couple of lines, thank you.

$$\int_0^x2cte^{-ct^2}dt$$ where $$c$$ is a positive constant

Homework Equations

The Attempt at a Solution

Let u=t and let dv=$$2ce^{-ct^2}dt$$

just change variables to $x=ct^2$. you don't need "integration by parts".

 

[Millhawk]

Homework Statement

The above was edited wrong.

I have tried this question a number of times, but to no avail. Could somebody please help with the first couple of lines, thank you.

$$\int_0^x2cte^{-ct^2}dt$$ where $$c$$ is a positive constant

Homework Equations

The Attempt at a Solution

Let u=t and let dv=$$2ce^{-ct^2}dt$$

 

[olgranpappy]

ditto

 

[rocomath]

Take olgranpappy's advice, all you need is a simple u-sub.

 

[Millhawk]

Thank you, it's amazing how a simple question can transform itself into Electromagnetic Field Theory with such ease when a tired human brain is applied. Thank you again.

 

[rocomath]

Happens to me all the time, no worries :-]