How to draw exponential function in matlab

Does anyone know how to draw this function f(x)=sin(x). Exp(-lxl) in Matlab?Thanks.

Answer 1

[Dave B]

It seems like you listed a couple of functions, were you looking to plot them separately?

Can plot the functions using fplot

nexttile
fplot(@(x)sin(x))
nexttile
fplot(@(x)exp(-abs(x)))

Or plot values using plot

nexttile
x=linspace(-5,5,100);
plot(x,sin(x))
nexttile
plot(x,exp(-abs(x)))

[Chris Lin]

How to merge it?

[Chris Lin]

I mean how to draw f(x)=sin(x). Exp(-lxl),not seperately thanks

[Dave B]

I'm not sure what 'merge it' means...on the same axes?

fplot(@(x)sin(x))
hold on
fplot(@(x)exp(-abs(x)))

[Chris Lin]

I mean how to draw f(x)=sin(x)*Exp(-lxl) thanks

[Dave B]

Is there something in particular that's difficult about changing the equation?

fplot(@(x)sin(x).*exp(-abs(x)))

[Chris Lin]

what does nexttile mean?

[Dave B]

Hi Chris, can you expand on your question a bit?

[Walter Roberson]

nexttile means to move to the next sub plot. It is a more modern way of using subplot() that has some advantages.

Answer 2

[Chris Lin]

Thanks,How to define the area of X from minus 10 to plus 10

[Walter Roberson]

fplot(@(x)sin(x).*exp(-abs(x)), [-10 10])

[Chris Lin]

How to find the integral of y(x)=sin(x)*Exp(-lxl)*exp(-i k x). Integration range from x=-10 to x=10, k=2

[Walter Roberson]

format long g
k = 2

k = 
     2

y = @(x) sin(x).*exp(-abs(x)).*exp(-i.*k.*x)

y = function_handle with value:
    @(x)sin(x).*exp(-abs(x)).*exp(-i.*k.*x)

syms x
area_sym = simplify(int(y(x), x, -10, 10))

area_sym = 

double(area_sym)

ans = 
                          0 -     0.400020854904531i

area_numeric = integral(y, -10, 10 )

area_numeric = 
       1.02753566831419e-17 -     0.400020854904531i

[Chris Lin]

How to calculate when k=1?

[Walter Roberson]

format long g
y = @(x,k) sin(x).*exp(-abs(x)).*exp(-i.*k.*x)

y = function_handle with value:
    @(x,k)sin(x).*exp(-abs(x)).*exp(-i.*k.*x)

syms x k
area_sym = simplify(int(y(x,k), x, -10, 10))

area_sym = 

area_k_sym = simplify(subs(area_sym,k,(1:8).'))

area_k_sym = 

double(area_k_sym)

ans = 
                          0 -     0.799941726389522i
                          0 -     0.400020854904531i
                          0 -     0.141179603605318i
                          0 -    0.0615282799753523i
                          0 -    0.0318073184754602i
                          0 -    0.0184532189656321i
                          0 -    0.0116468126495915i
                          0 -   0.00780451904492856i