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- Improper integral
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How to use it?
- Integral of d{x}:
- Integral of x^2√(1-x^2)
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Integral of e^-t
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Integral of sin(x)*dx/x
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Integral of sin(2*x)/cos(2*x)
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Identical expressions
- sin(ln(x))/(x)^(one / two)
- sinus of (ln(x)) divide by (x) to the power of (1 divide by 2)
- sinus of (ln(x)) divide by (x) to the power of (one divide by two)
- sin(ln(x))/(x)(1/2)
- sinlnx/x1/2
- sinlnx/x^1/2
- sin(ln(x)) divide by (x)^(1 divide by 2)
- sin(ln(x))/(x)^(1/2)dx
Integral of sin(ln(x))/(x)^(1/2) dx
The solution
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[src]
oo / | | sin(log(x)) | ----------- dx | ___ | \/ x | / 0
$$\int\limits_{0}^{\infty} \frac{\sin{\left(\log{\left(x \right)} \right)}}{\sqrt{x}}\, dx$$
Integral(sin(log(x))/sqrt(x), (x, 0, oo))
The answer (Indefinite)
[src]
/ | ___ ___ | sin(log(x)) 4*\/ x *cos(log(x)) 2*\/ x *sin(log(x)) | ----------- dx = C - ------------------- + ------------------- | ___ 5 5 | \/ x | /
$$\int \frac{\sin{\left(\log{\left(x \right)} \right)}}{\sqrt{x}}\, dx = C + \frac{2 \sqrt{x} \sin{\left(\log{\left(x \right)} \right)}}{5} - \frac{4 \sqrt{x} \cos{\left(\log{\left(x \right)} \right)}}{5}$$
Use the examples entering the upper and lower limits of integration.