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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of 1/5x
- Integral of sqrt(1+e^(2x))
- Integral of sinx/cos2x
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Integral of sqrt(1-x^2)dx
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Identical expressions
- abs(sin(lnx)/sqrt(x))
- abs( sinus of (lnx) divide by square root of (x))
- abs(sin(lnx)/√(x))
- abssinlnx/sqrtx
- abs(sin(lnx) divide by sqrt(x))
- abs(sin(lnx)/sqrt(x))dx
Integral of abs(sin(lnx)/sqrt(x)) dx
The solution
You have entered
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oo / | | |sin(log(x))| | |-----------| dx | | ___ | | | \/ x | | / 2
$$\int\limits_{2}^{\infty} \left|{\frac{\sin{\left(\log{\left(x \right)} \right)}}{\sqrt{x}}}\right|\, dx$$
Integral(Abs(sin(log(x))/sqrt(x)), (x, 2, oo))
The answer (Indefinite)
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/ / | | | |sin(log(x))| | |sin(log(x))| | |-----------| dx = C + | ------------- dx | | ___ | | | ___| | | \/ x | | |\/ x | | | / /
$$\int \left|{\frac{\sin{\left(\log{\left(x \right)} \right)}}{\sqrt{x}}}\right|\, dx = C + \int \frac{\left|{\sin{\left(\log{\left(x \right)} \right)}}\right|}{\left|{\sqrt{x}}\right|}\, dx$$
The answer
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oo / | | |sin(log(x))| | ------------- dx | | ___| | |\/ x | | / 2
$$\int\limits_{2}^{\infty} \frac{\left|{\sin{\left(\log{\left(x \right)} \right)}}\right|}{\left|{\sqrt{x}}\right|}\, dx$$
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oo / | | |sin(log(x))| | ------------- dx | | ___| | |\/ x | | / 2
$$\int\limits_{2}^{\infty} \frac{\left|{\sin{\left(\log{\left(x \right)} \right)}}\right|}{\left|{\sqrt{x}}\right|}\, dx$$
Integral(Abs(sin(log(x)))/Abs(sqrt(x)), (x, 2, oo))
Use the examples entering the upper and lower limits of integration.