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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}:
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Integral of x^e
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Integral of sin(x²)
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Integral of 1/(x³+1)
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Integral of (1-4x^2)^(1/2)
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Identical expressions
- ctg^ four (x/ two)
- ctg to the power of 4(x divide by 2)
- ctg to the power of four (x divide by two)
- ctg4(x/2)
- ctg4x/2
- ctg⁴(x/2)
- ctg^4x/2
- ctg^4(x divide by 2)
- ctg^4(x/2)dx
Integral of ctg^4(x/2) dx
The solution
You have entered
[src]
1 / | | 4/x\ | cot |-| dx | \2/ | / 0
$$\int\limits_{0}^{1} \cot^{4}{\left(\frac{x}{2} \right)}\, dx$$
The answer (Indefinite)
[src]
/ /x\ 3/x\ | 2*cos|-| 2*cos |-| | 4/x\ \2/ \2/ | cot |-| dx = C + x + -------- - --------- | \2/ /x\ 3/x\ | sin|-| 3*sin |-| / \2/ \2/
$$2\,\left({{x}\over{2}}+{{3\,\tan ^2\left({{x}\over{2}}\right)-1
}\over{3\,\tan ^3\left({{x}\over{2}}\right)}}\right)$$
The graph
The graph
Use the examples entering the upper and lower limits of integration.