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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of e^3
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Integral of 4*x*exp(x^2)
- Integral of tan^(-1)x
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Integral of xcos(5x)
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Identical expressions
- dx/X^(two)(rootx^(two)- nine)
- dx divide by X to the power of (2)(rootx to the power of (2) minus 9)
- dx divide by X to the power of (two)(rootx to the power of (two) minus nine)
- dx/X(2)(rootx(2)-9)
- dx/X2rootx2-9
- dx/X^2rootx^2-9
- dx divide by X^(2)(rootx^(2)-9)
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Similar expressions
- dx/X^(2)(rootx^(2)+9)
Integral of dx/X^(2)(rootx^(2)-9) dx
The solution
You have entered
[src]
6 / | | / 2 \ | 1 | ___ | | 1*--*\\/ x - 9/ dx | 2 | x | / 37 -- 10
$$\int\limits_{\frac{37}{10}}^{6} 1 \cdot \frac{1}{x^{2}} \left(\left(\sqrt{x}\right)^{2} - 9\right)\, dx$$
Integral(1*((sqrt(x))^2 - 1*9)/x^2, (x, 37/10, 6))
The answer (Indefinite)
[src]
/ | | / 2 \ | 1 | ___ | / ___\ 9 | 1*--*\\/ x - 9/ dx = C + 2*log\\/ x / + - | 2 x | x | /
$$\log x+{{9}\over{x}}$$
The graph
The answer
[src]
69 /37\ - -- - log|--| + log(6) 74 \10/
$$\log 6-\log \left({{37}\over{10}}\right)-{{69}\over{74}}$$
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69 /37\ - -- - log|--| + log(6) 74 \10/
$$- \log{\left(\frac{37}{10} \right)} - \frac{69}{74} + \log{\left(6 \right)}$$
The graph
Use the examples entering the upper and lower limits of integration.