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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of x²/(x²+1)²
- Integral of sqrt(1-cosx)dx
- Integral of sin^3x/sqrt(cosx)
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Integral of sin^2x/x^2
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Identical expressions
- sin^ two x/x^2
- sinus of squared x divide by x squared
- sinus of to the power of two x divide by x squared
- sin2x/x2
- sin²x/x²
- sin to the power of 2x/x to the power of 2
- sin^2x divide by x^2
- sin^2x/x^2dx
Integral of sin^2x/x^2 dx
The solution
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[src]
1 / | | 2 | sin (x) | ------- dx | 2 | x | / 0
$$\int\limits_{0}^{1} \frac{\sin^{2}{\left(x \right)}}{x^{2}}\, dx$$
Integral(sin(x)^2/(x^2), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | 2 | sin (x) 1 cos(2*x) | ------- dx = C - --- + -------- + Si(2*x) | 2 2*x 2*x | x | /
$${{\left(i\,\Gamma\left(-1 , 2\,i\,x\right)-i\,\Gamma\left(-1 , -2\,
i\,x\right)\right)\,x-1}\over{2\,x}}$$
The graph
The answer
[src]
1 cos(2) - - + ------ + Si(2) 2 2
$$\int_{0}^{1}{{{\sin ^2x}\over{x^2}}\;dx}$$
=
=
1 cos(2) - - + ------ + Si(2) 2 2
$$- \frac{1}{2} + \frac{\cos{\left(2 \right)}}{2} + \operatorname{Si}{\left(2 \right)}$$
The graph
Use the examples entering the upper and lower limits of integration.