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- Improper integral
- Double Integral
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How to use it?
- Integral of d{x}:
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Integral of 1/(e^(2*x))
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Integral of xe^(x+1)
- Integral of x*atan(x)/sqrt(1+x^3)
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Integral of (x^5+x^4-8)/(x^3-4x)
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Identical expressions
- sqrt(one + eight (sin(x/ two))^ two)
- square root of (1 plus 8( sinus of (x divide by 2)) squared )
- square root of (one plus eight ( sinus of (x divide by two)) to the power of two)
- √(1+8(sin(x/2))^2)
- sqrt(1+8(sin(x/2))2)
- sqrt1+8sinx/22
- sqrt(1+8(sin(x/2))²)
- sqrt(1+8(sin(x/2)) to the power of 2)
- sqrt1+8sinx/2^2
- sqrt(1+8(sin(x divide by 2))^2)
- sqrt(1+8(sin(x/2))^2)dx
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Similar expressions
- sqrt(1-8(sin(x/2))^2)
Integral of sqrt(1+8(sin(x/2))^2) dx
The solution
You have entered
[src]
1 / | | _______________ | / 2/x\ | / 1 + 8*sin |-| dx | \/ \2/ | / 0
$$\int\limits_{0}^{1} \sqrt{8 \sin^{2}{\left(\frac{x}{2} \right)} + 1}\, dx$$
Integral(sqrt(1 + 8*sin(x/2)^2), (x, 0, 1))
The answer
[src]
1 / | | _______________ | / 2/x\ | / 1 + 8*sin |-| dx | \/ \2/ | / 0
$$\int\limits_{0}^{1} \sqrt{8 \sin^{2}{\left(\frac{x}{2} \right)} + 1}\, dx$$
=
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1 / | | _______________ | / 2/x\ | / 1 + 8*sin |-| dx | \/ \2/ | / 0
$$\int\limits_{0}^{1} \sqrt{8 \sin^{2}{\left(\frac{x}{2} \right)} + 1}\, dx$$
Integral(sqrt(1 + 8*sin(x/2)^2), (x, 0, 1))
Use the examples entering the upper and lower limits of integration.