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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of e^(x*(-2))
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Integral of x^1/3
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Integral of dx/1-cosx
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Integral of sqrt(2x+1)
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Identical expressions
- one /(sinxcosx^ two)
- 1 divide by ( sinus of x co sinus of e of x squared )
- one divide by ( sinus of x co sinus of e of x to the power of two)
- 1/(sinxcosx2)
- 1/sinxcosx2
- 1/(sinxcosx²)
- 1/(sinxcosx to the power of 2)
- 1/sinxcosx^2
- 1 divide by (sinxcosx^2)
- 1/(sinxcosx^2)dx
Integral of 1/(sinxcosx^2) dx
The solution
You have entered
[src]
1 / | | 1 | -------------- dx | 2 | sin(x)*cos (x) | / 0
$$\int\limits_{0}^{1} \frac{1}{\sin{\left(x \right)} \cos^{2}{\left(x \right)}}\, dx$$
Integral(1/(sin(x)*cos(x)^2), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | 1 1 log(-1 + cos(x)) log(1 + cos(x)) | -------------- dx = C + ------ + ---------------- - --------------- | 2 cos(x) 2 2 | sin(x)*cos (x) | /
$$\int \frac{1}{\sin{\left(x \right)} \cos^{2}{\left(x \right)}}\, dx = C + \frac{\log{\left(\cos{\left(x \right)} - 1 \right)}}{2} - \frac{\log{\left(\cos{\left(x \right)} + 1 \right)}}{2} + \frac{1}{\cos{\left(x \right)}}$$
The graph
The answer
[src]
pi*I
oo + ----
2
$$\infty + \frac{i \pi}{2}$$
=
=
pi*I
oo + ----
2
$$\infty + \frac{i \pi}{2}$$
oo + pi*i/2
Use the examples entering the upper and lower limits of integration.