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- Improper integral
- Double Integral
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How to use it?
- Integral of d{x}:
- Integral of 1/(sin^2x-sin^4x)
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Integral of (x^6-7x)^4dx
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Integral of y^4
- Integral of sinh(ax)
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Identical expressions
- one /(sin^2x-sin^4x)
- 1 divide by ( sinus of squared x minus sinus of to the power of 4x)
- one divide by ( sinus of squared x minus sinus of to the power of 4x)
- 1/(sin2x-sin4x)
- 1/sin2x-sin4x
- 1/(sin²x-sin⁴x)
- 1/(sin to the power of 2x-sin to the power of 4x)
- 1/sin^2x-sin^4x
- 1 divide by (sin^2x-sin^4x)
- 1/(sin^2x-sin^4x)dx
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Similar expressions
- 1/(sin^2x+sin^4x)
Integral of 1/(sin^2x-sin^4x) dx
The solution
You have entered
[src]
p - 3 / | | 1 | ----------------- dx | 2 4 | sin (x) - sin (x) | / p - 6
$$\int\limits_{\frac{p}{6}}^{\frac{p}{3}} \frac{1}{- \sin^{4}{\left(x \right)} + \sin^{2}{\left(x \right)}}\, dx$$
Integral(1/(sin(x)^2 - sin(x)^4), (x, p/6, p/3))
The answer (Indefinite)
[src]
/ 4/x\ 2/x\ | tan |-| 6*tan |-| | 1 1 \2/ \2/ | ----------------- dx = C + ---------------------- + ---------------------- - ---------------------- | 2 4 /x\ 3/x\ /x\ 3/x\ /x\ 3/x\ | sin (x) - sin (x) - 2*tan|-| + 2*tan |-| - 2*tan|-| + 2*tan |-| - 2*tan|-| + 2*tan |-| | \2/ \2/ \2/ \2/ \2/ \2/ /
$$\int \frac{1}{- \sin^{4}{\left(x \right)} + \sin^{2}{\left(x \right)}}\, dx = C + \frac{\tan^{4}{\left(\frac{x}{2} \right)}}{2 \tan^{3}{\left(\frac{x}{2} \right)} - 2 \tan{\left(\frac{x}{2} \right)}} - \frac{6 \tan^{2}{\left(\frac{x}{2} \right)}}{2 \tan^{3}{\left(\frac{x}{2} \right)} - 2 \tan{\left(\frac{x}{2} \right)}} + \frac{1}{2 \tan^{3}{\left(\frac{x}{2} \right)} - 2 \tan{\left(\frac{x}{2} \right)}}$$
Use the examples entering the upper and lower limits of integration.