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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^(x^2)
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Integral of sin(x)^3
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Integral of √(x^2+1)
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Integral of cos(5x)
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Identical expressions
- one /(x*√(x^ two +x- three))
- 1 divide by (x multiply by √(x squared plus x minus 3))
- one divide by (x multiply by √(x to the power of two plus x minus three))
- 1/(x*√(x2+x-3))
- 1/x*√x2+x-3
- 1/(x*√(x²+x-3))
- 1/(x*√(x to the power of 2+x-3))
- 1/(x√(x^2+x-3))
- 1/(x√(x2+x-3))
- 1/x√x2+x-3
- 1/x√x^2+x-3
- 1 divide by (x*√(x^2+x-3))
- 1/(x*√(x^2+x-3))dx
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Similar expressions
- 1/(x*√(x^2-x-3))
- 1/(x*√(x^2+x+3))
Integral of 1/(x*√(x^2+x-3)) dx
The solution
You have entered
[src]
1 / | | 1 | 1*----------------- dx | ____________ | / 2 | x*\/ x + x - 3 | / 0
$$\int\limits_{0}^{1} 1 \cdot \frac{1}{x \sqrt{x^{2} + x - 3}}\, dx$$
The answer (Indefinite)
[src]
/ / | | | 1 | 1 | 1*----------------- dx = C + | ------------------ dx | ____________ | _____________ | / 2 | / 2 | x*\/ x + x - 3 | x*\/ -3 + x + x | | / /
$${{\arcsin \left({{x}\over{\sqrt{13}\,\left| x\right| }}-{{6}\over{
\sqrt{13}\,\left| x\right| }}\right)}\over{\sqrt{3}}}$$
The answer
[src]
1 / | | 1 | ------------------ dx | _____________ | / 2 | x*\/ -3 + x + x | / 0
$$0$$
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1 / | | 1 | ------------------ dx | _____________ | / 2 | x*\/ -3 + x + x | / 0
$$\int\limits_{0}^{1} \frac{1}{x \sqrt{x^{2} + x - 3}}\, dx$$
Use the examples entering the upper and lower limits of integration.