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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of e^3
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Integral of exp(4*x)
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Integral of 1/√(4-x^2)
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Integral of 3^x*e^x
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Identical expressions
- three ^x*e^x
- 3 to the power of x multiply by e to the power of x
- three to the power of x multiply by e to the power of x
- 3x*ex
- 3^xe^x
- 3xex
- 3^x*e^xdx
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What you mean?
- 3^x*e^x
- 3^((x*e)^x)
- 3^((x*e)^x)
You entered:
3^x*e^x
What you mean?
Integral of 3^x*e^x dx
The solution
You have entered
[src]
1 / | | x x | 3 *e dx | / 0
$$\int\limits_{0}^{1} 3^{x} e^{x}\, dx$$
Integral(3^x*E^x, (x, 0, 1))
The answer (Indefinite)
[src]
/ | x x | x x 3 *e | 3 *e dx = C + ---------- | 1 + log(3) /
$${{3^{\left({{1}\over{\log 3}}+1\right)\,x}}\over{\left({{1}\over{
\log 3}}+1\right)\,\log 3}}$$
The graph
The answer
[src]
1
1 + ------
log(3)
1 3
- ------------------- + -------------------
/ 1 \ / 1 \
|1 + ------|*log(3) |1 + ------|*log(3)
\ log(3)/ \ log(3)/
$${{3^{{{1}\over{\log 3}}+1}}\over{\log 3+1}}-{{1}\over{\log 3+1}}$$
=
=
1
1 + ------
log(3)
1 3
- ------------------- + -------------------
/ 1 \ / 1 \
|1 + ------|*log(3) |1 + ------|*log(3)
\ log(3)/ \ log(3)/
$$- \frac{1}{\left(\frac{1}{\log{\left(3 \right)}} + 1\right) \log{\left(3 \right)}} + \frac{3^{\frac{1}{\log{\left(3 \right)}} + 1}}{\left(\frac{1}{\log{\left(3 \right)}} + 1\right) \log{\left(3 \right)}}$$
The graph
Use the examples entering the upper and lower limits of integration.