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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
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- Differential equations Step by Step
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How to use it?
- Integral of d{x}:
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Integral of (2x+3)
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Integral of 1-7*x^2
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Integral of (x+2)/(x(x-3))
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Integral of x/(2*x+1)
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Identical expressions
- sin(two (three -x))exp(x)
- sinus of (2(3 minus x)) exponent of (x)
- sinus of (two (three minus x)) exponent of (x)
- sin23-xexpx
- sin(2(3-x))exp(x)dx
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Similar expressions
- sin(2(3+x))exp(x)
Integral of sin(2(3-x))exp(x) dx
The solution
You have entered
[src]
3 / | | x | sin(2*(3 - x))*e dx | / 0
$$\int\limits_{0}^{3} e^{x} \sin{\left(2 \left(3 - x\right) \right)}\, dx$$
Integral(sin(2*(3 - x))*exp(x), (x, 0, 3))
The answer (Indefinite)
[src]
/ | x x | x e *sin(-6 + 2*x) 2*cos(-6 + 2*x)*e | sin(2*(3 - x))*e dx = C - ---------------- + ------------------ | 5 5 /
$$\int e^{x} \sin{\left(2 \left(3 - x\right) \right)}\, dx = C - \frac{e^{x} \sin{\left(2 x - 6 \right)}}{5} + \frac{2 e^{x} \cos{\left(2 x - 6 \right)}}{5}$$
The graph
The answer
[src]
3
2*cos(6) sin(6) 2*e
- -------- - ------ + ----
5 5 5
$$- \frac{2 \cos{\left(6 \right)}}{5} - \frac{\sin{\left(6 \right)}}{5} + \frac{2 e^{3}}{5}$$
=
=
3
2*cos(6) sin(6) 2*e
- -------- - ------ + ----
5 5 5
$$- \frac{2 \cos{\left(6 \right)}}{5} - \frac{\sin{\left(6 \right)}}{5} + \frac{2 e^{3}}{5}$$
-2*cos(6)/5 - sin(6)/5 + 2*exp(3)/5
Use the examples entering the upper and lower limits of integration.