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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of 1/(1-x^3)
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Integral of dx/(e^x-1)
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Integral of cos(x)*cos(x)
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Integral of -3*x^2
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Identical expressions
- sin(2xcosx)/(2x)
- sinus of (2x co sinus of e of x) divide by (2x)
- sin2xcosx/2x
- sin(2xcosx) divide by (2x)
- sin(2xcosx)/(2x)dx
Integral of sin(2xcosx)/(2x) dx
The solution
You have entered
[src]
1 / | | sin(2*x*cos(x)) | --------------- dx | 2*x | / 1/2
$$\int\limits_{\frac{1}{2}}^{1} \frac{\sin{\left(2 x \cos{\left(x \right)} \right)}}{2 x}\, dx$$
Integral(sin((2*x)*cos(x))/((2*x)), (x, 1/2, 1))
The answer (Indefinite)
[src]
/
|
| sin(2*x*cos(x))
| --------------- dx
/ | x
| |
| sin(2*x*cos(x)) /
| --------------- dx = C + ---------------------
| 2*x 2
|
/
$$\int \frac{\sin{\left(2 x \cos{\left(x \right)} \right)}}{2 x}\, dx = C + \frac{\int \frac{\sin{\left(2 x \cos{\left(x \right)} \right)}}{x}\, dx}{2}$$
The answer
[src]
1
/
|
| sin(2*x*cos(x))
| --------------- dx
| x
|
/
1/2
----------------------
2
$$\frac{\int\limits_{\frac{1}{2}}^{1} \frac{\sin{\left(2 x \cos{\left(x \right)} \right)}}{x}\, dx}{2}$$
=
=
1
/
|
| sin(2*x*cos(x))
| --------------- dx
| x
|
/
1/2
----------------------
2
$$\frac{\int\limits_{\frac{1}{2}}^{1} \frac{\sin{\left(2 x \cos{\left(x \right)} \right)}}{x}\, dx}{2}$$
Integral(sin(2*x*cos(x))/x, (x, 1/2, 1))/2
Use the examples entering the upper and lower limits of integration.