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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of sinx
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Integral of cosx^2
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Integral of sinh(x)
- Integral of xcos(nx)
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Identical expressions
- e^(- three x)sin(x/3)
- e to the power of ( minus 3x) sinus of (x divide by 3)
- e to the power of ( minus three x) sinus of (x divide by 3)
- e(-3x)sin(x/3)
- e-3xsinx/3
- e^-3xsinx/3
- e^(-3x)sin(x divide by 3)
- e^(-3x)sin(x/3)dx
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Similar expressions
- e^(3x)sin(x/3)
Integral of e^(-3x)sin(x/3) dx
The solution
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[src]
1 / | | -3*x /x\ | E *sin|-| dx | \3/ | / 0
$$\int\limits_{0}^{1} e^{- 3 x} \sin{\left(\frac{x}{3} \right)}\, dx$$
Integral(E^(-3*x)*sin(x/3), (x, 0, 1))
The answer (Indefinite)
[src]
/ / | | | -3*x /x\ | -3*x /x\ | E *sin|-| dx = C + | e *sin|-| dx | \3/ | \3/ | | / /
$$\int e^{- 3 x} \sin{\left(\frac{x}{3} \right)}\, dx = C + \int e^{- 3 x} \sin{\left(\frac{x}{3} \right)}\, dx$$
The graph
The answer
[src]
-3 -3 3 27*e *sin(1/3) 3*cos(1/3)*e -- - --------------- - -------------- 82 82 82
$$- \frac{27 \sin{\left(\frac{1}{3} \right)}}{82 e^{3}} - \frac{3 \cos{\left(\frac{1}{3} \right)}}{82 e^{3}} + \frac{3}{82}$$
=
=
-3 -3 3 27*e *sin(1/3) 3*cos(1/3)*e -- - --------------- - -------------- 82 82 82
$$- \frac{27 \sin{\left(\frac{1}{3} \right)}}{82 e^{3}} - \frac{3 \cos{\left(\frac{1}{3} \right)}}{82 e^{3}} + \frac{3}{82}$$
3/82 - 27*exp(-3)*sin(1/3)/82 - 3*cos(1/3)*exp(-3)/82
Use the examples entering the upper and lower limits of integration.