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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
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How to use it?
- Integral of d{x}:
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Integral of -e^x
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Integral of -15x^2
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Integral of xe^(1-x)
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Integral of -xe^x
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Identical expressions
- e^x*sin(x/ two)dx
- e to the power of x multiply by sinus of (x divide by 2)dx
- e to the power of x multiply by sinus of (x divide by two)dx
- ex*sin(x/2)dx
- ex*sinx/2dx
- e^xsin(x/2)dx
- exsin(x/2)dx
- exsinx/2dx
- e^xsinx/2dx
- e^x*sin(x divide by 2)dx
Integral of e^x*sin(x/2)dx dx
The solution
You have entered
[src]
1 / | | x /x\ | E *sin|-| dx | \2/ | / 0
$$\int\limits_{0}^{1} e^{x} \sin{\left(\frac{x}{2} \right)}\, dx$$
Integral(E^x*sin(x/2), (x, 0, 1))
The answer (Indefinite)
[src]
/ / | | | x /x\ | x /x\ | E *sin|-| dx = C + | e *sin|-| dx | \2/ | \2/ | | / /
$$\int e^{x} \sin{\left(\frac{x}{2} \right)}\, dx = C + \int e^{x} \sin{\left(\frac{x}{2} \right)}\, dx$$
The graph
The answer
[src]
2 2*E*cos(1/2) 4*E*sin(1/2) - - ------------ + ------------ 5 5 5
$$- \frac{2 e \cos{\left(\frac{1}{2} \right)}}{5} + \frac{2}{5} + \frac{4 e \sin{\left(\frac{1}{2} \right)}}{5}$$
=
=
2 2*E*cos(1/2) 4*E*sin(1/2) - - ------------ + ------------ 5 5 5
$$- \frac{2 e \cos{\left(\frac{1}{2} \right)}}{5} + \frac{2}{5} + \frac{4 e \sin{\left(\frac{1}{2} \right)}}{5}$$
2/5 - 2*E*cos(1/2)/5 + 4*E*sin(1/2)/5
Use the examples entering the upper and lower limits of integration.