How to integrate matrices?

I am trying to do the following:

t = [1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20];  %time = 1x20
heatflux = [2 3 5 7 9 11 12 13 14 19 24 14 12 13 20 21 11 23 18 19]; %heatflux = 1x20

fun = @(t) (heatflux).*t;
energy = integral (fun,0,20);

And I get this error:

Matrix dimensions must agree.

Error in HeatFlux>@(t)(heatflux).*t

Error in integralCalc/iterateScalarValued (line 314)
                fx = FUN(t);

Error in integralCalc/vadapt (line 132)
            [q,errbnd] = iterateScalarValued(u,tinterval,pathlen);

Error in integralCalc (line 75)
        [q,errbnd] = vadapt(@AtoBInvTransform,interval);

Error in integral (line 88)
Q = integralCalc(fun,a,b,opstruct);

Error in HeatFlux (line 22)
energy = integral (fun,0,20)

Can someone point what I am doing wrong? Both t and heatflux have the same matrix dimension 1x20!

[Daniel Goosen]

multiply by the transpose?

Answer 1

[Andrei Bobrov]

>> t = [1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20];  %time = 1x20
heatflux = [2 3 5 7 9 11 12 13 14 19 24 14 12 13 20 21 11 23 18 19]; %heatflux = 1x20
energy = trapz(t,heatflux)
energy =
  259.5000
>>

[Torsten]

energy = trapz(t,heatflux);

Best wishes

Torsten.

[Fotis_oe]

Perfect! Thanks!

[Andrei Bobrov]

Thank you Torsten!

This my typo. I'm corrected.

Answer 2

[Torsten]

Use "trapz".

Best wishes

Torsten.