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