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Calculus : Integrate

Basic | Advanced | Help

The integrate command will calculate definite and indefinite integrals.

In order to use the basic integrate command to find an indefinite integral, simply enter the expression you wish to integrate, enter the variable to integrate with respect to and click the Integrate button. If you wish to find the definite integral between two limits, a and b say, enter x,a,b in the variables text area.

The advanced integrate command allows you to calculate multiple integrals. Simply enter each variable you wish to integrate with respect to (with limits as described above if required) on a separate line in the variables text area.

Examples

Here are some examples illustrating the types of expressions you can use the integrate command on and the results which QuickMath will return.

 Basic integrate command

Expression Variable(s) Result
x x
 2
x
--
2 
x^3 x
 4
x
--
4 
5 x^3 - 7 x^2 + 2 x - 1 x
             3      4
      2   7 x    5 x
-x + x  - ---- + ----
           3      4 
5 x^3 - 7 x^2 + 2 x - 1 x,3,5

1396
----
 3
sin(t) t -cos(t)
sin(t) cos(t) t
       2
-cos(t)
--------
   2 
ln(x)y + 3x^2y^3 x
          3  3
-(x y) + x  y  + x y log(x)

 Advanced integrate command

Expression Variable(s) Result
6 x^3 y^2 + 3 x y^4 x
y
 4  3      2  5
x  y    3 x  y
----- + -------
  2       10 
6 x^3 y^2 + 3 x y^4 x,2,3
y,5,6
9934