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- Integral of d{x}:
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Integral of 1/(2+x^2)
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Identical expressions
- one /tan(x)^(eight)
- 1 divide by tangent of (x) to the power of (8)
- one divide by tangent of (x) to the power of (eight)
- 1/tan(x)(8)
- 1/tanx8
- 1/tanx^8
- 1 divide by tan(x)^(8)
- 1/tan(x)^(8)dx
Integral of 1/tan(x)^(8) dx
The solution
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[src]
1 / | | 1 | ------- dx | 8 | tan (x) | / 0
$$\int\limits_{0}^{1} \frac{1}{\tan^{8}{\left(x \right)}}\, dx$$
Integral(1/(tan(x)^8), (x, 0, 1))
The answer (Indefinite)
[src]
/ | 3 7 5 | 1 cos(x) cos (x) cos (x) cos (x) | ------- dx = C + x + ------ - --------- - --------- + --------- | 8 sin(x) 3 7 5 | tan (x) 3*sin (x) 7*sin (x) 5*sin (x) | /
$$\int \frac{1}{\tan^{8}{\left(x \right)}}\, dx = C + x + \frac{\cos{\left(x \right)}}{\sin{\left(x \right)}} - \frac{\cos^{3}{\left(x \right)}}{3 \sin^{3}{\left(x \right)}} + \frac{\cos^{5}{\left(x \right)}}{5 \sin^{5}{\left(x \right)}} - \frac{\cos^{7}{\left(x \right)}}{7 \sin^{7}{\left(x \right)}}$$
The graph
Use the examples entering the upper and lower limits of integration.