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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of 1+1/x
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Integral of e^x/(e^x-1)
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Integral of xsin(x)cos(x)
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Integral of x*sin(x^2)
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Identical expressions
- two ^(lnx)*(x^(ln8))
- 2 to the power of (lnx) multiply by (x to the power of (ln8))
- two to the power of (lnx) multiply by (x to the power of (ln8))
- 2(lnx)*(x(ln8))
- 2lnx*xln8
- 2^(lnx)(x^(ln8))
- 2(lnx)(x(ln8))
- 2lnxxln8
- 2^lnxx^ln8
- 2^(lnx)*(x^(ln8))dx
Integral of 2^(lnx)*(x^(ln8)) dx
The solution
You have entered
[src]
1 / | | log(x) log(8) | 2 *x dx | / 0
$$\int\limits_{0}^{1} 2^{\log{\left(x \right)}} x^{\log{\left(8 \right)}}\, dx$$
Integral(2^log(x)*x^log(8), (x, 0, 1))
The answer (Indefinite)
[src]
/ | log(x) 3*log(2) | log(x) log(8) x*2 *x | 2 *x dx = C + ------------------- | 1 + 4*log(2) /
$$\int 2^{\log{\left(x \right)}} x^{\log{\left(8 \right)}}\, dx = \frac{2^{\log{\left(x \right)}} x x^{3 \log{\left(2 \right)}}}{1 + 4 \log{\left(2 \right)}} + C$$
The graph
The answer
[src]
1 ------------ 1 + 4*log(2)
$$\frac{1}{1 + 4 \log{\left(2 \right)}}$$
=
=
1 ------------ 1 + 4*log(2)
$$\frac{1}{1 + 4 \log{\left(2 \right)}}$$
1/(1 + 4*log(2))
Use the examples entering the upper and lower limits of integration.