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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of cosec^5(x)
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Integral of 2x³
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Integral of ln(y)
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Integral of 4sin2x
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Identical expressions
- cosec^ five (x)
- co sinus of e of ec to the power of 5(x)
- co sinus of e of ec to the power of five (x)
- cosec5(x)
- cosec5x
- cosec⁵(x)
- cosec^5x
- cosec^5(x)dx
Integral of cosec^5(x) dx
The solution
You have entered
[src]
1 / | | 5 | csc (x) dx | / 0
$$\int\limits_{0}^{1} \csc^{5}{\left(x \right)}\, dx$$
Integral(csc(x)^5, (x, 0, 1))
The answer (Indefinite)
[src]
/ | 3 | 5 3*log(1 + cos(x)) 3*log(-1 + cos(x)) -5*cos(x) + 3*cos (x) | csc (x) dx = C - ----------------- + ------------------ + -------------------------- | 16 16 2 4 / 8 - 16*cos (x) + 8*cos (x)
$$-{{3\,\log \left(\cos x+1\right)}\over{16}}+{{3\,\log \left(\cos x-
1\right)}\over{16}}+{{3\,\cos ^3x-5\,\cos x}\over{8\,\cos ^4x-16\,
\cos ^2x+8}}$$
The graph
The answer
[src]
3*pi*I
oo + ------
16
$${\it \%a}$$
=
=
3*pi*I
oo + ------
16
$$\infty + \frac{3 i \pi}{16}$$
The graph
Use the examples entering the upper and lower limits of integration.