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- Improper integral
- Double Integral
- Triple Integral
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How to use it?
- Integral of d{x}:
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Integral of e^x/x^2
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Integral of 1/√(4-x^2)
- Integral of a^x*e^x
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Integral of 1/(x^2+2*x+5)
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Identical expressions
- one /(sin^ two (x/ two))
- 1 divide by ( sinus of squared (x divide by 2))
- one divide by ( sinus of to the power of two (x divide by two))
- 1/(sin2(x/2))
- 1/sin2x/2
- 1/(sin²(x/2))
- 1/(sin to the power of 2(x/2))
- 1/sin^2x/2
- 1 divide by (sin^2(x divide by 2))
- 1/(sin^2(x/2))dx
Integral of 1/(sin^2(x/2)) dx
The solution
You have entered
[src]
1 / | | 1 | 1*------- dx | 2/x\ | sin |-| | \2/ | / 0
$$\int\limits_{0}^{1} 1 \cdot \frac{1}{\sin^{2}{\left(\frac{x}{2} \right)}}\, dx$$
Integral(1/sin(x/2)^2, (x, 0, 1))
The answer (Indefinite)
[src]
/ /x\ | 2*cos|-| | 1 \2/ | 1*------- dx = C - -------- | 2/x\ /x\ | sin |-| sin|-| | \2/ \2/ | /
$$-{{2}\over{\tan \left({{x}\over{2}}\right)}}$$
The graph
The graph
Use the examples entering the upper and lower limits of integration.