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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
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How to use it?
- Integral of d{x}:
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Integral of e^(2*x)*cos(3*x)
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Integral of dr/r
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Integral of (2x-4)
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Integral of 2*exp(x)
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Identical expressions
- sin(x)/(one +cos^ two (x))
- sinus of (x) divide by (1 plus co sinus of e of squared (x))
- sinus of (x) divide by (one plus co sinus of e of to the power of two (x))
- sin(x)/(1+cos2(x))
- sinx/1+cos2x
- sin(x)/(1+cos²(x))
- sin(x)/(1+cos to the power of 2(x))
- sinx/1+cos^2x
- sin(x) divide by (1+cos^2(x))
- sin(x)/(1+cos^2(x))dx
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Similar expressions
- sin(x)/(1-cos^2(x))
- sinx/(1+cos^2(x))
Integral of sin(x)/(1+cos^2(x)) dx
The solution
You have entered
[src]
1 / | | sin(x) | ----------- dx | 2 | 1 + cos (x) | / 0
$$\int\limits_{0}^{1} \frac{\sin{\left(x \right)}}{\cos^{2}{\left(x \right)} + 1}\, dx$$
Integral(sin(x)/(1 + cos(x)^2), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | sin(x) | ----------- dx = C - atan(cos(x)) | 2 | 1 + cos (x) | /
$$\int \frac{\sin{\left(x \right)}}{\cos^{2}{\left(x \right)} + 1}\, dx = C - \operatorname{atan}{\left(\cos{\left(x \right)} \right)}$$
The graph
The answer
[src]
pi
-atan(cos(1)) + --
4
$$- \operatorname{atan}{\left(\cos{\left(1 \right)} \right)} + \frac{\pi}{4}$$
=
=
pi
-atan(cos(1)) + --
4
$$- \operatorname{atan}{\left(\cos{\left(1 \right)} \right)} + \frac{\pi}{4}$$
-atan(cos(1)) + pi/4
The graph
Use the examples entering the upper and lower limits of integration.