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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*(-5))
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Integral of 1/(x^2-x)
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Integral of (2x-1)(3x+4)
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Integral of 1/cos^3x
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Identical expressions
- one /(eight *sqrt(three))
- 1 divide by (8 multiply by square root of (3))
- one divide by (eight multiply by square root of (three))
- 1/(8*√(3))
- 1/(8sqrt(3))
- 1/8sqrt3
- 1 divide by (8*sqrt(3))
Integral of 1/(8*sqrt(3)) dx
The solution
You have entered
[src]
___
4 + 4*\/ 3
/
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| 1
| 1*------- dx
| ___
| 8*\/ 3
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/
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4 - 4*\/ 3
$$\int\limits_{4 - 4 \sqrt{3}}^{4 + 4 \sqrt{3}} 1 \cdot \frac{1}{8 \sqrt{3}}\, dx$$
Integral(1/(8*sqrt(3)), (x, 4 - 4*sqrt(3), 4 + 4*sqrt(3)))
Detail solution
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The integral of a constant is the constant times the variable of integration:
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Now simplify:
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Add the constant of integration:
The answer is:
The answer (Indefinite)
[src]
/ | ___ | 1 \/ 3 | 1*------- dx = C + x*----- | ___ 24 | 8*\/ 3 | /
$$\int 1 \cdot \frac{1}{8 \sqrt{3}}\, dx = C + \frac{\sqrt{3}}{24} x$$
The graph
The answer
[src]
___ / ___\ ___ / ___\
\/ 3 *\4 - 4*\/ 3 / \/ 3 *\4 + 4*\/ 3 /
- ------------------- + -------------------
24 24
$$- \frac{\sqrt{3} \cdot \left(4 - 4 \sqrt{3}\right)}{24} + \frac{\sqrt{3} \cdot \left(4 + 4 \sqrt{3}\right)}{24}$$
=
=
___ / ___\ ___ / ___\
\/ 3 *\4 - 4*\/ 3 / \/ 3 *\4 + 4*\/ 3 /
- ------------------- + -------------------
24 24
$$- \frac{\sqrt{3} \cdot \left(4 - 4 \sqrt{3}\right)}{24} + \frac{\sqrt{3} \cdot \left(4 + 4 \sqrt{3}\right)}{24}$$
The graph
Use the examples entering the upper and lower limits of integration.