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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of x/(1-x^2)^1/2
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Integral of x^2*e^(4*x)
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Integral of x*(-2)/(1+x^2)
- Integral of x^2√(1-x^2)
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Identical expressions
- one /(cosx^ two *ctgx)
- 1 divide by ( co sinus of e of x squared multiply by ctgx)
- one divide by ( co sinus of e of x to the power of two multiply by ctgx)
- 1/(cosx2*ctgx)
- 1/cosx2*ctgx
- 1/(cosx²*ctgx)
- 1/(cosx to the power of 2*ctgx)
- 1/(cosx^2ctgx)
- 1/(cosx2ctgx)
- 1/cosx2ctgx
- 1/cosx^2ctgx
- 1 divide by (cosx^2*ctgx)
- 1/(cosx^2*ctgx)dx
Integral of 1/(cosx^2*ctgx) dx
The solution
You have entered
[src]
1 / | | 1 | -------------- dx | 2 | cos (x)*cot(x) | / 0
$$\int\limits_{0}^{1} \frac{1}{\cos^{2}{\left(x \right)} \cot{\left(x \right)}}\, dx$$
Integral(1/(cos(x)^2*cot(x)), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | 1 1 | -------------- dx = C + --------- | 2 2 | cos (x)*cot(x) 2*cos (x) | /
$$\int \frac{1}{\cos^{2}{\left(x \right)} \cot{\left(x \right)}}\, dx = C + \frac{1}{2 \cos^{2}{\left(x \right)}}$$
The graph
The answer
[src]
1 1
- - + ---------
2 2
2*cos (1)
$$- \frac{1}{2} + \frac{1}{2 \cos^{2}{\left(1 \right)}}$$
=
=
1 1
- - + ---------
2 2
2*cos (1)
$$- \frac{1}{2} + \frac{1}{2 \cos^{2}{\left(1 \right)}}$$
-1/2 + 1/(2*cos(1)^2)
Use the examples entering the upper and lower limits of integration.