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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of sin²xcos²x
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Integral of ex^2
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Integral of (1+2x^2)/(x^2(1+x^2))
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Integral of (1+x^4)^(1/2)
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Identical expressions
- one /sin²(x/п)
- 1 divide by sinus of ²(x divide by п)
- one divide by sinus of ²(x divide by п)
- 1/sin²x/п
- 1 divide by sin²(x divide by п)
- 1/sin²(x/п)dx
Integral of 1/sin²(x/п) dx
The solution
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1 / | | 1 | -------- dx | 2/x \ | sin |--| | \pi/ | / 0
$$\int\limits_{0}^{1} \frac{1}{\sin^{2}{\left(\frac{x}{\pi} \right)}}\, dx$$
Integral(1/(sin(x/pi)^2), (x, 0, 1))
The answer (Indefinite)
[src]
/ /x \ | pi*cos|--| | 1 \pi/ | -------- dx = C - ---------- | 2/x \ /x \ | sin |--| sin|--| | \pi/ \pi/ | /
$$\int \frac{1}{\sin^{2}{\left(\frac{x}{\pi} \right)}}\, dx = C - \frac{\pi \cos{\left(\frac{x}{\pi} \right)}}{\sin{\left(\frac{x}{\pi} \right)}}$$
The graph
Use the examples entering the upper and lower limits of integration.