How find the integral of a function from 0 to a equal to a certain number

Okay, so for a program I'm writing for a class I need to find the area under a curve from 0 to a number (say 4) and then find K so that the area under this curve from 4 to K is equal to that first area. Is that possible to do with MatLab? Thanks for any help you can give me.

Answer 1

[Wayne King]

Hi, Do you want to do this integration symbolically, or numerically?

See the help for quad (numerical) and sym/int

>>doc quad

>>doc sym/int

[Brian]

Numerically I suppose. I mean I need to find actual numbers, not equations.

[Walter Roberson]

Brian will also need fzero() or equivalent for the numeric side, and solve() or equivalent for the symbolic side (though there is not certain to _be_ an analytic solution for arbitrary functions.)

[Wayne King]

Think about

int(sym('x^2'),0,4)

% and

syms k

int(sym('x^2'),4,k)

Then when would these be equal and consider Walter's hint.

[Brian]

Thanks a lot! I appreciate the help