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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/
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Integral of x*e^(3*x)*dx
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Integral of arcsin
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Integral of 1/(sqrt(1+x^2))
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Identical expressions
- (one -sin(x)+cos(x))/(one +sin(x)-cos(x))
- (1 minus sinus of (x) plus co sinus of e of (x)) divide by (1 plus sinus of (x) minus co sinus of e of (x))
- (one minus sinus of (x) plus co sinus of e of (x)) divide by (one plus sinus of (x) minus co sinus of e of (x))
- 1-sinx+cosx/1+sinx-cosx
- (1-sin(x)+cos(x)) divide by (1+sin(x)-cos(x))
- (1-sin(x)+cos(x))/(1+sin(x)-cos(x))dx
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Similar expressions
- (1+sin(x)+cos(x))/(1+sin(x)-cos(x))
- (1-sin(x)+cos(x))/(1-sin(x)-cos(x))
- (1-sin(x)+cos(x))/(1+sin(x)+cos(x))
- (1-sin(x)-cos(x))/(1+sin(x)-cos(x))
- (1-sinx+cosx)/(1+sinx-cosx)
Integral of (1-sin(x)+cos(x))/(1+sin(x)-cos(x)) dx
The solution
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[src]
1 / | | 1 - sin(x) + cos(x) | ------------------- dx | 1 + sin(x) - cos(x) | / 0
$$\int\limits_{0}^{1} \frac{\left(1 - \sin{\left(x \right)}\right) + \cos{\left(x \right)}}{\left(\sin{\left(x \right)} + 1\right) - \cos{\left(x \right)}}\, dx$$
Integral((1 - sin(x) + cos(x))/(1 + sin(x) - cos(x)), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | 1 - sin(x) + cos(x) / /x\\ / /x\\ | ------------------- dx = C - x - 2*log|1 + tan|-|| + 2*log|tan|-|| | 1 + sin(x) - cos(x) \ \2// \ \2// | /
$$\int \frac{\left(1 - \sin{\left(x \right)}\right) + \cos{\left(x \right)}}{\left(\sin{\left(x \right)} + 1\right) - \cos{\left(x \right)}}\, dx = C - x - 2 \log{\left(\tan{\left(\frac{x}{2} \right)} + 1 \right)} + 2 \log{\left(\tan{\left(\frac{x}{2} \right)} \right)}$$
The graph
The graph
Use the examples entering the upper and lower limits of integration.