Mister Exam
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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
- Differential equations Step by Step
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How to use it?
- Integral of d{x}:
- Integral of sech(x)
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Integral of secx^3
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Integral of 1/(5-4cos(2x))
- Integral of x³lnxdx
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Identical expressions
- one /sqrt(one /(p^ two - one))
- 1 divide by square root of (1 divide by (p squared minus 1))
- one divide by square root of (one divide by (p to the power of two minus one))
- 1/√(1/(p^2-1))
- 1/sqrt(1/(p2-1))
- 1/sqrt1/p2-1
- 1/sqrt(1/(p²-1))
- 1/sqrt(1/(p to the power of 2-1))
- 1/sqrt1/p^2-1
- 1 divide by sqrt(1 divide by (p^2-1))
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Similar expressions
- 1/sqrt(1/(p^2+1))
Integral of 1/sqrt(1/(p^2-1)) dp
The solution
You have entered
[src]
1 / | | 1 | 1*--------------- dp | __________ | / 1 | / 1*------ | / 2 | \/ p - 1 | / 0
$$\int\limits_{0}^{1} 1 \cdot \frac{1}{\sqrt{1 \cdot \frac{1}{p^{2} - 1}}}\, dp$$
Integral(1/sqrt(1/(p^2 - 1*1)), (p, 0, 1))
The answer (Indefinite)
[src]
$${{p\,\sqrt{p^2-1}}\over{2}}-{{\log \left(2\,\sqrt{p^2-1}+2\,p
\right)}\over{2}}$$
The answer
[src]
1 / | | 1 | -------------- dp | _________ | / 1 | / ------- | / 2 | \/ -1 + p | / 0
$${{\log \left(2\,i\right)}\over{2}}-{{\log 2}\over{2}}$$
=
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1 / | | 1 | -------------- dp | _________ | / 1 | / ------- | / 2 | \/ -1 + p | / 0
$$\int\limits_{0}^{1} \frac{1}{\sqrt{\frac{1}{p^{2} - 1}}}\, dp$$
Use the examples entering the upper and lower limits of integration.