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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
- Differential equations Step by Step
- Limits Step by Step
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How to use it?
- Integral of d{x}:
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Integral of e^(2*x+1)
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Integral of e^x²
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Integral of (-x)/(1+x^2)
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Integral of sqrt(x^2+4)/x^2
- The double integral of:
- y^2/x^2
- y^2/x^2
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Identical expressions
- y^ two /x^ two
- y squared divide by x squared
- y to the power of two divide by x to the power of two
- y2/x2
- y²/x²
- y to the power of 2/x to the power of 2
- y^2 divide by x^2
- y^2/x^2dx
Integral of y^2/x^2 dx
The solution
You have entered
[src]
1 / | | 2 | y | -- dx | 2 | x | / 0
$$\int\limits_{0}^{1} \frac{y^{2}}{x^{2}}\, dx$$
Integral(y^2/x^2, (x, 0, 1))
Detail solution
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The integral of a constant times a function is the constant times the integral of the function:
PiecewiseRule(subfunctions=[(ArctanRule(a=1, b=1, c=0, context=1/(x**2), symbol=x), False), (ArccothRule(a=1, b=1, c=0, context=1/(x**2), symbol=x), False), (ArctanhRule(a=1, b=1, c=0, context=1/(x**2), symbol=x), False)], context=1/(x**2), symbol=x)
So, the result is:
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Add the constant of integration:
The answer is:
The answer (Indefinite)
[src]
/ | | 2 | y | -- dx = nan | 2 | x | /
$$\int \frac{y^{2}}{x^{2}}\, dx = \text{NaN}$$
The answer
[src]
/ 2\ 2 oo*sign\y / - y
$$- y^{2} + \infty \operatorname{sign}{\left(y^{2} \right)}$$
=
=
/ 2\ 2 oo*sign\y / - y
$$- y^{2} + \infty \operatorname{sign}{\left(y^{2} \right)}$$
oo*sign(y^2) - y^2
Use the examples entering the upper and lower limits of integration.