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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^(33/10)/5
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Integral of dx/(1+e^x)
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Integral of x^2/4
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Integral of (x-2)^3
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Identical expressions
- one /(sinx+cosx)^ two
- 1 divide by ( sinus of x plus co sinus of e of x) squared
- one divide by ( sinus of x plus co sinus of e of x) to the power of two
- 1/(sinx+cosx)2
- 1/sinx+cosx2
- 1/(sinx+cosx)²
- 1/(sinx+cosx) to the power of 2
- 1/sinx+cosx^2
- 1 divide by (sinx+cosx)^2
- 1/(sinx+cosx)^2dx
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Similar expressions
- 1/(sinx-cosx)^2
Integral of 1/(sinx+cosx)^2 dx
The solution
You have entered
[src]
oo / | | 1 | ------------------ dx | 2 | (sin(x) + cos(x)) | / 0
$$\int\limits_{0}^{\infty} \frac{1}{\left(\sin{\left(x \right)} + \cos{\left(x \right)}\right)^{2}}\, dx$$
Integral(1/((sin(x) + cos(x))^2), (x, 0, oo))
The answer (Indefinite)
[src]
/ /x\ | 2*tan|-| | 1 \2/ | ------------------ dx = C - ----------------------- | 2 2/x\ /x\ | (sin(x) + cos(x)) -1 + tan |-| - 2*tan|-| | \2/ \2/ /
$$\int \frac{1}{\left(\sin{\left(x \right)} + \cos{\left(x \right)}\right)^{2}}\, dx = C - \frac{2 \tan{\left(\frac{x}{2} \right)}}{\tan^{2}{\left(\frac{x}{2} \right)} - 2 \tan{\left(\frac{x}{2} \right)} - 1}$$
The answer
[src]
oo / | | 1 | ------------------ dx | 2 | (cos(x) + sin(x)) | / 0
$$\int\limits_{0}^{\infty} \frac{1}{\left(\sin{\left(x \right)} + \cos{\left(x \right)}\right)^{2}}\, dx$$
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oo / | | 1 | ------------------ dx | 2 | (cos(x) + sin(x)) | / 0
$$\int\limits_{0}^{\infty} \frac{1}{\left(\sin{\left(x \right)} + \cos{\left(x \right)}\right)^{2}}\, dx$$
Integral((cos(x) + sin(x))^(-2), (x, 0, oo))
Use the examples entering the upper and lower limits of integration.