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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 x^(4/5)
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Integral of 1/sqrt(x^2-5)
- Integral of x^(-x)
- Integral of (x^2+cos(x^2))/(sqrt(8x-x^4))
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Identical expressions
- (two +ln(x))/sqrt(x- one)
- (2 plus ln(x)) divide by square root of (x minus 1)
- (two plus ln(x)) divide by square root of (x minus one)
- (2+ln(x))/√(x-1)
- 2+lnx/sqrtx-1
- (2+ln(x)) divide by sqrt(x-1)
- (2+ln(x))/sqrt(x-1)dx
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Similar expressions
- (2+ln(x))/sqrt(x+1)
- (2-ln(x))/sqrt(x-1)
Integral of (2+ln(x))/sqrt(x-1) dx
The solution
You have entered
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2 / | | 2 + log(x) | ---------- dx | _______ | \/ x - 1 | / 1
$$\int\limits_{1}^{2} \frac{\log{\left(x \right)} + 2}{\sqrt{x - 1}}\, dx$$
Integral((2 + log(x))/sqrt(x - 1), (x, 1, 2))
The answer (Indefinite)
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/ | | 2 + log(x) / _______\ _______ | ---------- dx = C + 4*atan\\/ x - 1 / + 2*\/ x - 1 *log(x) | _______ | \/ x - 1 | /
$$\int \frac{\log{\left(x \right)} + 2}{\sqrt{x - 1}}\, dx = C + 2 \sqrt{x - 1} \log{\left(x \right)} + 4 \operatorname{atan}{\left(\sqrt{x - 1} \right)}$$
The graph
The answer
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pi + 2*log(2)
$$2 \log{\left(2 \right)} + \pi$$
=
=
pi + 2*log(2)
$$2 \log{\left(2 \right)} + \pi$$
pi + 2*log(2)
Use the examples entering the upper and lower limits of integration.