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- Improper integral
- Double Integral
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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-x^2)/(1+x^2)
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Integral of 1/(1+4x^2)
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Integral of x*dx/(x^2+1)
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Identical expressions
- e^(2x)*sin(3x)
- e to the power of (2x) multiply by sinus of (3x)
- e(2x)*sin(3x)
- e2x*sin3x
- e^(2x)sin(3x)
- e(2x)sin(3x)
- e2xsin3x
- e^2xsin3x
- e^(2x)*sin(3x)dx
Integral of e^(2x)*sin(3x) dx
The solution
You have entered
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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
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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.