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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 (-1)/x^2
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Integral of 1/(x+2)^2
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Integral of x⁴
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Integral of x/(1+x²)
- Derivative of:
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(-1)/x^2
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Identical expressions
- (- one)/x^ two
- ( minus 1) divide by x squared
- ( minus one) divide by x to the power of two
- (-1)/x2
- -1/x2
- (-1)/x²
- (-1)/x to the power of 2
- -1/x^2
- (-1) divide by x^2
- (-1)/x^2dx
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Similar expressions
- (5*x-1)/(x^2+4*x)-12
- (1)/x^2
- (x-1)/(x^2-4)
- (x-1)/(x^2-4x+5)
- (x-1/x^2)*dx
- (x^2-1)/(x^2+1)
Integral of (-1)/x^2 dx
The solution
You have entered
[src]
1 / | | -1 | --- dx | 2 | x | / 0
$$\int\limits_{0}^{1} \left(- \frac{1}{x^{2}}\right)\, dx$$
Integral(-1/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]
/ | | -1 | --- dx = nan | 2 | x | /
$$\int \left(- \frac{1}{x^{2}}\right)\, dx = \text{NaN}$$
The graph
The graph
Use the examples entering the upper and lower limits of integration.