Solution for exp-[(x-a)/b]dx with a and b numbers

[Rajini]

hi

Hi i need to know the soln. for the following integral..

exp-[(x-a)/b]dx...a and b are some numbers...
thanks

 

[waht]

Solve it by substitution if u = (x-a)/b

 

[Rajini]

So answer would be -b exp[(a-x)/b] + C...
Is this correct!

 

[slider142]

So answer would be -b exp[(a-x)/b] + C...
Is this correct!

This expression doesn't mesh with what you had up earlier. Do you have e^\frac{x-a}{b} or e^\frac{a-x}{b} ?

 

[Rajini]

hi

I have e[-(x-a)/b]...
the soln. is -b*e[(a-x)/b] + C
i.e., -b*e[-(x-a)/b] + C.
i think both the soln. are correct!

 

[Gokul43201]

Your answer is correct.

 

[Rajini]

one more

The soln. for a*exp[-(x-b)^2/(2c^2)] is...
a*sqrt(2c)exp[-(x-b)^2/(2c^2)]...
is this correct?

 

[Gokul43201]

I don't think so. Indefinite Gaussian integrals do not have closed form expression.