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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
- Differential equations Step by Step
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How to use it?
- Integral of d{x}:
- Integral of x*atan(x)/sqrt(1+x^3)
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Integral of x^2*e^(x/2)*dx
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Integral of x^2*(9-x^2)^(-1/2)
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Integral of (x^2-3x)/(x^2-6x+8)
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Identical expressions
- cosx/(cosx-sinx)
- co sinus of e of x divide by ( co sinus of e of x minus sinus of x)
- cosx/cosx-sinx
- cosx divide by (cosx-sinx)
- cosx/(cosx-sinx)dx
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Similar expressions
- (sinx-cosx)/(cosx-sinx)^3
- cosx/(cosx+sinx)
Integral of cosx/(cosx-sinx) dx
The solution
You have entered
[src]
1 / | | cos(x) | --------------- dx | cos(x) - sin(x) | / 0
$$\int\limits_{0}^{1} \frac{\cos{\left(x \right)}}{- \sin{\left(x \right)} + \cos{\left(x \right)}}\, dx$$
Integral(cos(x)/(cos(x) - sin(x)), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | cos(x) x log(-sin(x) + cos(x)) | --------------- dx = C + - - --------------------- | cos(x) - sin(x) 2 2 | /
$$\int \frac{\cos{\left(x \right)}}{- \sin{\left(x \right)} + \cos{\left(x \right)}}\, dx = C + \frac{x}{2} - \frac{\log{\left(- \sin{\left(x \right)} + \cos{\left(x \right)} \right)}}{2}$$
The graph
The graph
Use the examples entering the upper and lower limits of integration.