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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of x^2/sqrt(4-x^2)
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Integral of x^3*e^x*dx
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Integral of 3cosx
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Integral of e^2x
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Identical expressions
- sqrt(tan(x))/(2sinxcosx)
- square root of ( tangent of (x)) divide by (2 sinus of x co sinus of e of x)
- √(tan(x))/(2sinxcosx)
- sqrttanx/2sinxcosx
- sqrt(tan(x)) divide by (2sinxcosx)
- sqrt(tan(x))/(2sinxcosx)dx
Integral of sqrt(tan(x))/(2sinxcosx) dx
The solution
You have entered
[src]
1 / | | ________ | \/ tan(x) | --------------- dx | 2*sin(x)*cos(x) | / 0
$$\int\limits_{0}^{1} \frac{\sqrt{\tan{\left(x \right)}}}{2 \sin{\left(x \right)} \cos{\left(x \right)}}\, dx$$
Integral(sqrt(tan(x))/(((2*sin(x))*cos(x))), (x, 0, 1))
The answer (Indefinite)
[src]
/
|
| ________
| \/ tan(x)
/ | ------------- dx
| | cos(x)*sin(x)
| ________ |
| \/ tan(x) /
| --------------- dx = C + -------------------
| 2*sin(x)*cos(x) 2
|
/
$$\int \frac{\sqrt{\tan{\left(x \right)}}}{2 \sin{\left(x \right)} \cos{\left(x \right)}}\, dx = C + \frac{\int \frac{\sqrt{\tan{\left(x \right)}}}{\sin{\left(x \right)} \cos{\left(x \right)}}\, dx}{2}$$
The answer
[src]
1
/
|
| ________
| \/ tan(x)
| ------------- dx
| cos(x)*sin(x)
|
/
0
--------------------
2
$$\frac{\int\limits_{0}^{1} \frac{\sqrt{\tan{\left(x \right)}}}{\sin{\left(x \right)} \cos{\left(x \right)}}\, dx}{2}$$
=
=
1
/
|
| ________
| \/ tan(x)
| ------------- dx
| cos(x)*sin(x)
|
/
0
--------------------
2
$$\frac{\int\limits_{0}^{1} \frac{\sqrt{\tan{\left(x \right)}}}{\sin{\left(x \right)} \cos{\left(x \right)}}\, dx}{2}$$
Integral(sqrt(tan(x))/(cos(x)*sin(x)), (x, 0, 1))/2
Use the examples entering the upper and lower limits of integration.