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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 x*sin(x/2)
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Integral of x^4/(x^2+1)
- Integral of x^2*a^x
- Derivative of:
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ln(x+sqrt(x^2+1))
- Graphing y =:
- ln(x+sqrt(x^2+1))
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Identical expressions
- ln(x+sqrt(x^ two + one))
- ln(x plus square root of (x squared plus 1))
- ln(x plus square root of (x to the power of two plus one))
- ln(x+√(x^2+1))
- ln(x+sqrt(x2+1))
- lnx+sqrtx2+1
- ln(x+sqrt(x²+1))
- ln(x+sqrt(x to the power of 2+1))
- lnx+sqrtx^2+1
- ln(x+sqrt(x^2+1))dx
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Similar expressions
- ln(x-sqrt(x^2+1))
- ln(x+sqrt(x^2-1))
Integral of ln(x+sqrt(x^2+1)) dx
The solution
You have entered
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1 / | | / ________\ | | / 2 | | log\x + \/ x + 1 / dx | / 0
$$\int\limits_{0}^{1} \log{\left(x + \sqrt{x^{2} + 1} \right)}\, dx$$
Integral(log(x + sqrt(x^2 + 1)), (x, 0, 1))
The answer (Indefinite)
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/ | | / ________\ ________ / ________\ | | / 2 | / 2 | / 2 | | log\x + \/ x + 1 / dx = C - \/ x + 1 + x*log\x + \/ x + 1 / | /
$$\int \log{\left(x + \sqrt{x^{2} + 1} \right)}\, dx = C + x \log{\left(x + \sqrt{x^{2} + 1} \right)} - \sqrt{x^{2} + 1}$$
Use the examples entering the upper and lower limits of integration.