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