Mister Exam
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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}:
- Integral of 1/(1+(sin(x))^2)
- Integral of x/(x^3-3x+2)
- Integral of xe^2^xdx
- Integral of x/(x^2-3x+2)
- Limit of the function:
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x/(1+cos(x))
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Identical expressions
- x/(one +cos(x))
- x divide by (1 plus co sinus of e of (x))
- x divide by (one plus co sinus of e of (x))
- x/1+cosx
- x divide by (1+cos(x))
- x/(1+cos(x))dx
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Similar expressions
- cosx/(1+cosx+sinx)^2
- x/(1-cos(x))
- xsinx/(1+cosx)
- cosx/1+cosx/cosx
- (-sinx)/(1+cosx^2)
- (cos*x)/(1+cos*x)^2
- x/(1+cosx)
Integral of x/(1+cos(x)) dx
The solution
You have entered
[src]
1 / | | x | ---------- dx | 1 + cos(x) | / 0
$$\int\limits_{0}^{1} \frac{x}{\cos{\left(x \right)} + 1}\, dx$$
Integral(x/(1 + cos(x)), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | x / 2/x\\ /x\ | ---------- dx = C - log|1 + tan |-|| + x*tan|-| | 1 + cos(x) \ \2// \2/ | /
$${{\left(\sin ^2x+\cos ^2x+2\,\cos x+1\right)\,\log \left(\sin ^2x+
\cos ^2x+2\,\cos x+1\right)+2\,x\,\sin x}\over{\sin ^2x+\cos ^2x+2\,
\cos x+1}}$$
The graph
The answer
[src]
/ 2 \ - log\1 + tan (1/2)/ + tan(1/2)
$${{\left(\sin ^21+\cos ^21+2\,\cos 1+1\right)\,\log \left(\sin ^21+
\cos ^21+2\,\cos 1+1\right)+2\,\sin 1}\over{\sin ^21+\cos ^21+2\,
\cos 1+1}}-2\,\log 2$$
=
=
/ 2 \ - log\1 + tan (1/2)/ + tan(1/2)
$$- \log{\left(\tan^{2}{\left(\frac{1}{2} \right)} + 1 \right)} + \tan{\left(\frac{1}{2} \right)}$$
The graph
Use the examples entering the upper and lower limits of integration.