### Related

##### define-integrate-solve

define(f(x), x^2+a*x+b);

solve([integrate(2*f(...

Calculate

##### define-integrate

define(f(x),integrate...

f(1);

f(3);

Calculate

##### define-integrate

define(f(x),integrate...

Calculate

##### define-integrate-plot2d

define (g(x), x^3+x^2...

define (G(x), integra...

plot2d ([g(x), G(x)],...

Calculate

##### define-integrate

define(g(x),6*x*cos*(...

define(G(x),integrate...

integrate(g(x),x,7,12);

Calculate

##### define-integrate-plot2d

f(x):=x;

define(fi(x),integrat...

plot2d ([f(x)],[x,-5,...

Calculate

##### define-integrate

define(f(x),%e^(9/4)*...

integrate(f(x)^2,x,9/...

%e^(9/2)*(-1/2)*(%e^(...

Calculate

##### define-integrate-plot2d-realroots

a(t):=7.2-0.24*t+0.00...

l:realroots(a(t)) /* ...

define(v(t),integrate...

Calculate

##### define-integrate-sin

f(x):=%e^(-x)*sin(x);

define(g(x),integrate...

Calculate

##### define-integrate-numer-plot2d-solve

eq:integrate(x^2,x,-t...

solve(eq,t),numer;

f(x):=x^2;

Calculate

### [define,integrate]

Run Example
```(%i1)define(f(x), a*x^2+b*x+c);
2
(%o1)                       f(x) := a x  + b x + c
(%i2) integrate(f(x),x,1,3);
6 c + 9 b + 18 a   6 c + 3 b + 2 a
(%o2)                 ---------------- - ---------------
2                  6
(%i3) integrate(f(x)*x,x,1,3);
18 c + 36 b + 81 a   6 c + 4 b + 3 a
(%o3)                ------------------ - ---------------
4                  12
(%i4) ```
Run Example
```define(f(x),integrate(12*(x-1)*(x+1)*(x-3),x)+17);
4      3      2
(%o1)              f(x) := 3 (x  - 4 x  - 2 x  + 12 x) + 17
(%i2) f(1);
(%o2)                                 38
(%i3) f(3);
(%o3)                                - 10
(%i4) ```
Run Example
```define(f(x),integrate((x-1)^2+1,x)+3);
3
x     2
(%o1)                      f(x) := -- - x  + 2 x + 3
3
(%i2) f(-1);
1
(%o2)                                 - -
3
(%i3) f(1);
13
(%o3)                                 --
3
(%i4) f(3);
(%o4)                                  9
(%i5) ```

### Related Help

Help for Define

Help for Integrate