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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of x*2^(-x)
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Integral of ex^2
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Integral of x^5/(x^2+1)
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Integral of sin(x²)
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Identical expressions
- ln(one +x)/(x*sqrtx)
- ln(1 plus x) divide by (x multiply by square root of x)
- ln(one plus x) divide by (x multiply by square root of x)
- ln(1+x)/(x*√x)
- ln(1+x)/(xsqrtx)
- ln1+x/xsqrtx
- ln(1+x) divide by (x*sqrtx)
- ln(1+x)/(x*sqrtx)dx
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Similar expressions
- ln(1-x)/(x*sqrtx)
Integral of ln(1+x)/(x*sqrtx) dx
The solution
You have entered
[src]
1 / | | log(1 + x) | ---------- dx | ___ | x*\/ x | / 0
$$\int\limits_{0}^{1} \frac{\log{\left(x + 1 \right)}}{\sqrt{x} x}\, dx$$
Integral(log(1 + x)/((x*sqrt(x))), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | log(1 + x) / 1 \ 2*log(1 + x) | ---------- dx = C - 4*atan|-----| - ------------ | ___ | ___| ___ | x*\/ x \\/ x / \/ x | /
$$\int \frac{\log{\left(x + 1 \right)}}{\sqrt{x} x}\, dx = C - 4 \operatorname{atan}{\left(\frac{1}{\sqrt{x}} \right)} - \frac{2 \log{\left(x + 1 \right)}}{\sqrt{x}}$$
The graph
The answer
[src]
pi - 2*log(2)
$$\pi - 2 \log{\left(2 \right)}$$
=
=
pi - 2*log(2)
$$\pi - 2 \log{\left(2 \right)}$$
pi - 2*log(2)
Use the examples entering the upper and lower limits of integration.