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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of 1/sqrt(x^2+1)
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Integral of x*dx/(x^2+1)
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Integral of 1/(3x+1)
- Integral of tan^(-1)x
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Identical expressions
- (csc^2xcotx)/(nine +cot^4x)
- (csc squared x cotangent of x) divide by (9 plus cotangent of to the power of 4x)
- (csc squared x cotangent of x) divide by (nine plus cotangent of to the power of 4x)
- (csc2xcotx)/(9+cot4x)
- csc2xcotx/9+cot4x
- (csc²xcotx)/(9+cot⁴x)
- (csc to the power of 2xcotx)/(9+cot to the power of 4x)
- csc^2xcotx/9+cot^4x
- (csc^2xcotx) divide by (9+cot^4x)
- (csc^2xcotx)/(9+cot^4x)dx
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Similar expressions
- (csc^2xcotx)/(9-cot^4x)
Integral of (csc^2xcotx)/(9+cot^4x) dx
The solution
You have entered
[src]
1 / | | 2 | csc (x)*cot(x) | -------------- dx | 4 | 9 + cot (x) | / 0
$$\int\limits_{0}^{1} \frac{\cot{\left(x \right)} \csc^{2}{\left(x \right)}}{\cot^{4}{\left(x \right)} + 9}\, dx$$
Integral((csc(x)^2*cot(x))/(9 + cot(x)^4), (x, 0, 1))
The answer (Indefinite)
[src]
/ / 2 \ | |cot (x)| | 2 atan|-------| | csc (x)*cot(x) \ 3 / | -------------- dx = C - ------------- | 4 6 | 9 + cot (x) | /
$$\int \frac{\cot{\left(x \right)} \csc^{2}{\left(x \right)}}{\cot^{4}{\left(x \right)} + 9}\, dx = C - \frac{\operatorname{atan}{\left(\frac{\cot^{2}{\left(x \right)}}{3} \right)}}{6}$$
Use the examples entering the upper and lower limits of integration.