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- Improper integral
- Double Integral
- Triple Integral
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How to use it?
- Integral of d{x}:
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Integral of e^(2*x)*cos(3*x)
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Integral of 3*exp(-2*x)
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Integral of x/(x^2-4)^(1/4)
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Integral of -x^2+4
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Identical expressions
- one /(2n- one)*ln(n+ one)
- 1 divide by (2n minus 1) multiply by ln(n plus 1)
- one divide by (2n minus one) multiply by ln(n plus one)
- 1/(2n-1)ln(n+1)
- 1/2n-1lnn+1
- 1 divide by (2n-1)*ln(n+1)
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Similar expressions
- 1/(2n+1)*ln(n+1)
- 1/(2n-1)*ln(n-1)
Integral of 1/(2n-1)*ln(n+1) dx
The solution
You have entered
[src]
oo / | | log(n + 1) | ---------- dn | 2*n - 1 | / 2
$$\int\limits_{2}^{\infty} \frac{\log{\left(n + 1 \right)}}{2 n - 1}\, dn$$
Integral(log(n + 1)/(2*n - 1), (n, 2, oo))
The answer (Indefinite)
[src]
/ / | | | log(n + 1) | log(1 + n) | ---------- dn = C + | ---------- dn | 2*n - 1 | -1 + 2*n | | / /
$$\int \frac{\log{\left(n + 1 \right)}}{2 n - 1}\, dn = C + \int \frac{\log{\left(n + 1 \right)}}{2 n - 1}\, dn$$
The answer
[src]
oo / | | log(1 + n) | ---------- dn | -1 + 2*n | / 2
$$\int\limits_{2}^{\infty} \frac{\log{\left(n + 1 \right)}}{2 n - 1}\, dn$$
=
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oo / | | log(1 + n) | ---------- dn | -1 + 2*n | / 2
$$\int\limits_{2}^{\infty} \frac{\log{\left(n + 1 \right)}}{2 n - 1}\, dn$$
Integral(log(1 + n)/(-1 + 2*n), (n, 2, oo))
Use the examples entering the upper and lower limits of integration.