Mister Exam
Other calculators
- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
- Differential equations Step by Step
- Limits Step by Step
-
How to use it?
- Integral of d{x}:
-
Integral of x*cos(x/2)
-
Integral of x^5/(x^2+1)
-
Integral of x/(2*x+1)
- Integral of (-x)/(1-x^2)
- Graphing y =:
- (-x)/(1-x^2)
-
Identical expressions
- (-x)/(one -x^ two)
- ( minus x) divide by (1 minus x squared )
- ( minus x) divide by (one minus x to the power of two)
- (-x)/(1-x2)
- -x/1-x2
- (-x)/(1-x²)
- (-x)/(1-x to the power of 2)
- -x/1-x^2
- (-x) divide by (1-x^2)
- (-x)/(1-x^2)dx
-
Similar expressions
- (x)/(1-x^2)
- (-x)/(1+x^2)
Integral of (-x)/(1-x^2) dx
The solution
You have entered
[src]
1 / | | -x | ------ dx | 2 | 1 - x | / 0
$$\int\limits_{0}^{1} \frac{\left(-1\right) x}{- x^{2} + 1}\, dx$$
Integral((-x)/(1 - x^2), (x, 0, 1))
Detail solution
We have the integral:
/ | | -x | 1*------ dx | 2 | 1 - x | /
Rewrite the integrand
/ -1*2*x + 0 \
|--------------|
| 2 |
-x \- x + 0*x + 1/
------ = ----------------
2 2
1 - x or
/ | | -x | 1*------ dx | 2 = | 1 - x | /
/
|
| -1*2*x + 0
| -------------- dx
| 2
| - x + 0*x + 1
|
/
--------------------
2 In the integral
/
|
| -1*2*x + 0
| -------------- dx
| 2
| - x + 0*x + 1
|
/
--------------------
2 do replacement
2 u = -x
then
the integral =
/
|
| 1
| ----- du
| 1 + u
|
/ log(1 + u)
----------- = ----------
2 2 do backward replacement
/
|
| -1*2*x + 0
| -------------- dx
| 2
| - x + 0*x + 1
| / 2\
/ log\-1 + x /
-------------------- = ------------
2 2 Solution is:
/ 2\
log\-1 + x /
C + ------------
2
The answer (Indefinite)
[src]
/ | / 2\ | -x log\1 - x / | ------ dx = C + ----------- | 2 2 | 1 - x | /
$${{\log \left(1-x^2\right)}\over{2}}$$
The answer
[src]
pi*I
-oo - ----
2
$${\it \%a}$$
=
=
pi*I
-oo - ----
2
$$-\infty - \frac{i \pi}{2}$$
Use the examples entering the upper and lower limits of integration.