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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of sin^3x/(1+cosx)
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Integral of sqrt(6x-x^2)
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Integral of sinx/(1+3cosx)
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Integral of sinx^3
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Identical expressions
- sin^3x/(one +cosx)
- sinus of cubed x divide by (1 plus co sinus of e of x)
- sinus of cubed x divide by (one plus co sinus of e of x)
- sin3x/(1+cosx)
- sin3x/1+cosx
- sin³x/(1+cosx)
- sin to the power of 3x/(1+cosx)
- sin^3x/1+cosx
- sin^3x divide by (1+cosx)
- sin^3x/(1+cosx)dx
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Similar expressions
- sin^3x/(1-cosx)
Integral of sin^3x/(1+cosx) dx
The solution
You have entered
[src]
1 / | | 3 | sin (x) | ---------- dx | 1 + cos(x) | / 0
$$\int\limits_{0}^{1} \frac{\sin^{3}{\left(x \right)}}{\cos{\left(x \right)} + 1}\, dx$$
The answer (Indefinite)
[src]
/ | 2/x\ | 3 4*tan |-| | sin (x) 2 \2/ | ---------- dx = C - ----------------------- - ----------------------- | 1 + cos(x) 4/x\ 2/x\ 4/x\ 2/x\ | 1 + tan |-| + 2*tan |-| 1 + tan |-| + 2*tan |-| / \2/ \2/ \2/ \2/
$${{\cos ^2x-2\,\cos x}\over{2}}$$
The graph
The answer
[src]
2
2 4*tan (1/2)
2 - --------------------------- - ---------------------------
4 2 4 2
1 + tan (1/2) + 2*tan (1/2) 1 + tan (1/2) + 2*tan (1/2)
$${{\cos ^21-2\,\cos 1}\over{2}}+{{1}\over{2}}$$
=
=
2
2 4*tan (1/2)
2 - --------------------------- - ---------------------------
4 2 4 2
1 + tan (1/2) + 2*tan (1/2) 1 + tan (1/2) + 2*tan (1/2)
$$- \frac{2}{\tan^{4}{\left(\frac{1}{2} \right)} + 2 \tan^{2}{\left(\frac{1}{2} \right)} + 1} - \frac{4 \tan^{2}{\left(\frac{1}{2} \right)}}{\tan^{4}{\left(\frac{1}{2} \right)} + 2 \tan^{2}{\left(\frac{1}{2} \right)} + 1} + 2$$
The graph
Use the examples entering the upper and lower limits of integration.