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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
- Differential equations Step by Step
- Limits Step by Step
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How to use it?
- Integral of d{x}:
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Integral of sin²xcos²x
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Integral of x*2^(-x)
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Integral of (1/x^2)dx
- Integral of x²ln(x)
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Identical expressions
- d/dx(arctg(one /x))dx
- d divide by dx(arctg(1 divide by x))dx
- d divide by dx(arctg(one divide by x))dx
- d/dxarctg1/xdx
Integral of d/dx(arctg(1/x))dx dx
The solution
You have entered
[src]
1 / | | d | ------- dx | /1\ | atan|-| | \x/ | / -1
$$\int\limits_{-1}^{1} \frac{d}{\operatorname{atan}{\left(\frac{1}{x} \right)}}\, dx$$
Integral(d/atan(1/x), (x, -1, 1))
Detail solution
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The integral of a constant times a function is the constant times the integral of the function:
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Don't know the steps in finding this integral.
But the integral is
So, the result is:
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Add the constant of integration:
The answer is:
The answer (Indefinite)
[src]
/ / | | | d | 1 | ------- dx = C + d* | ------- dx | /1\ | /1\ | atan|-| | atan|-| | \x/ | \x/ | | / /
$$\int \frac{d}{\operatorname{atan}{\left(\frac{1}{x} \right)}}\, dx = C + d \int \frac{1}{\operatorname{atan}{\left(\frac{1}{x} \right)}}\, dx$$
The answer
[src]
1
/
|
| 1
d* | ------- dx
| /1\
| atan|-|
| \x/
|
/
-1
$$d \int\limits_{-1}^{1} \frac{1}{\operatorname{atan}{\left(\frac{1}{x} \right)}}\, dx$$
=
=
1
/
|
| 1
d* | ------- dx
| /1\
| atan|-|
| \x/
|
/
-1
$$d \int\limits_{-1}^{1} \frac{1}{\operatorname{atan}{\left(\frac{1}{x} \right)}}\, dx$$
d*Integral(1/atan(1/x), (x, -1, 1))
Use the examples entering the upper and lower limits of integration.