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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 e^3x
- Integral of sinx/cos2x
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Integral of -e^x
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Integral of sqrt(x^2+1)/x^3
- Derivative of:
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e^(2*x)*sin(3*x)
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Identical expressions
- e^(two *x)*sin(three *x)
- e to the power of (2 multiply by x) multiply by sinus of (3 multiply by x)
- e to the power of (two multiply by x) multiply by sinus of (three multiply by x)
- e(2*x)*sin(3*x)
- e2*x*sin3*x
- e^(2x)sin(3x)
- e(2x)sin(3x)
- e2xsin3x
- e^2xsin3x
- e^(2*x)*sin(3*x)dx
Integral of e^(2*x)*sin(3*x) dx
The solution
You have entered
[src]
1 / | | 2*x | E *sin(3*x) dx | / 0
$$\int\limits_{0}^{1} e^{2 x} \sin{\left(3 x \right)}\, dx$$
Integral(E^(2*x)*sin(3*x), (x, 0, 1))
The answer (Indefinite)
[src]
/ | 2*x 2*x | 2*x 3*cos(3*x)*e 2*e *sin(3*x) | E *sin(3*x) dx = C - --------------- + --------------- | 13 13 /
$$\int e^{2 x} \sin{\left(3 x \right)}\, dx = C + \frac{2 e^{2 x} \sin{\left(3 x \right)}}{13} - \frac{3 e^{2 x} \cos{\left(3 x \right)}}{13}$$
The graph
The answer
[src]
2 2 3 3*cos(3)*e 2*e *sin(3) -- - ----------- + ----------- 13 13 13
$$\frac{2 e^{2} \sin{\left(3 \right)}}{13} + \frac{3}{13} - \frac{3 e^{2} \cos{\left(3 \right)}}{13}$$
=
=
2 2 3 3*cos(3)*e 2*e *sin(3) -- - ----------- + ----------- 13 13 13
$$\frac{2 e^{2} \sin{\left(3 \right)}}{13} + \frac{3}{13} - \frac{3 e^{2} \cos{\left(3 \right)}}{13}$$
3/13 - 3*cos(3)*exp(2)/13 + 2*exp(2)*sin(3)/13
The graph
Use the examples entering the upper and lower limits of integration.