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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
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How to use it?
- Integral of d{x}:
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Integral of 1/(1+4x^2)
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Integral of dx/(4x-1)
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Integral of (2x+3)/(x^2-5x+6)
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Integral of 2x(x^2+1)
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Identical expressions
- exp(cos(x)*exp(-x)/ two -exp(-x)*sin(x)/ two)
- exponent of ( co sinus of e of (x) multiply by exponent of ( minus x) divide by 2 minus exponent of ( minus x) multiply by sinus of (x) divide by 2)
- exponent of ( co sinus of e of (x) multiply by exponent of ( minus x) divide by two minus exponent of ( minus x) multiply by sinus of (x) divide by two)
- exp(cos(x)exp(-x)/2-exp(-x)sin(x)/2)
- expcosxexp-x/2-exp-xsinx/2
- exp(cos(x)*exp(-x) divide by 2-exp(-x)*sin(x) divide by 2)
- exp(cos(x)*exp(-x)/2-exp(-x)*sin(x)/2)dx
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Similar expressions
- exp(cos(x)*exp(-x)/2+exp(-x)*sin(x)/2)
- exp(cos(x)*exp(x)/2-exp(-x)*sin(x)/2)
- exp(cos(x)*exp(-x)/2-exp(x)*sin(x)/2)
- exp(cosx*exp(-x)/2-exp(-x)*sinx/2)
Integral of exp(cos(x)*exp(-x)/2-exp(-x)*sin(x)/2) dx
The solution
You have entered
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1 / | | -x -x | cos(x)*e e *sin(x) | ---------- - ---------- | 2 2 | e dx | / 0
$$\int\limits_{0}^{1} e^{- \frac{e^{- x} \sin{\left(x \right)}}{2} + \frac{e^{- x} \cos{\left(x \right)}}{2}}\, dx$$
Integral(exp((cos(x)*exp(-x))/2 - exp(-x)*sin(x)/2), (x, 0, 1))
The answer (Indefinite)
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/ / | | | -x -x | -x -x | cos(x)*e e *sin(x) | cos(x)*e -e *sin(x) | ---------- - ---------- | ---------- ------------ | 2 2 | 2 2 | e dx = C + | e *e dx | | / /
$$\int e^{- \frac{e^{- x} \sin{\left(x \right)}}{2} + \frac{e^{- x} \cos{\left(x \right)}}{2}}\, dx = C + \int e^{- \frac{e^{- x} \sin{\left(x \right)}}{2}} e^{\frac{e^{- x} \cos{\left(x \right)}}{2}}\, dx$$
The answer
[src]
1 / | | -x -x | cos(x)*e -e *sin(x) | ---------- ------------ | 2 2 | e *e dx | / 0
$$\int\limits_{0}^{1} e^{- \frac{e^{- x} \sin{\left(x \right)}}{2}} e^{\frac{e^{- x} \cos{\left(x \right)}}{2}}\, dx$$
=
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1 / | | -x -x | cos(x)*e -e *sin(x) | ---------- ------------ | 2 2 | e *e dx | / 0
$$\int\limits_{0}^{1} e^{- \frac{e^{- x} \sin{\left(x \right)}}{2}} e^{\frac{e^{- x} \cos{\left(x \right)}}{2}}\, dx$$
Integral(exp(cos(x)*exp(-x)/2)*exp(-exp(-x)*sin(x)/2), (x, 0, 1))
Use the examples entering the upper and lower limits of integration.