Indefinite Integrals

[CDR]

I was wondering if there is a way of evaluating indefinite integrals with conditions on the integral which define the constant of integration. For instance, I would like to be able to input a function, f(x) = x, and the boundary condition F(2) = 4, and receive F(x) = 0.5(x)^2 + 2. Thanks for any help in advance.

 

[Rich2001]

Here is one way on how to do it

Solve the integral of f(x) symbolically this is g(x)

set x0=2 y0=4

constant of integration C = y(0)-g(x0)

Then F(x) [red]=[/red] g(x)+ C

[red]=[/red] is the symbolic equal arrow pointing to right (Press Ctrl +Period to insert the right arrow known as the "symbolic equal sign.&quot

 

[Rich2001]

Here is one way on how to do it

soory here is the correction to the above post

Solve the integral of f(x) symbolically this is g(x)

set x0=2 y0=4

constant of integration C = y0-g(x0)

Then F(x) = g(x)+ C

= is the symbolic equal arrow pointing to right (Press Ctrl +Period to insert the right arrow known as the "symbolic equal sign.&quot