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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*x)
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Integral of y^(-2)
- Integral of 1/y
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Integral of secx
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Identical expressions
- sqrt(one thousand, two hundred and fifty (one +sin(x)sin(5x)-cosx*cos(5x)))
- square root of (1250(1 plus sinus of (x) sinus of (5x) minus co sinus of e of x multiply by co sinus of e of (5x)))
- square root of (one thousand, two hundred and fifty (one plus sinus of (x) sinus of (5x) minus co sinus of e of x multiply by co sinus of e of (5x)))
- √(1250(1+sin(x)sin(5x)-cosx*cos(5x)))
- sqrt(1250(1+sin(x)sin(5x)-cosxcos(5x)))
- sqrt12501+sinxsin5x-cosxcos5x
- sqrt(1250(1+sin(x)sin(5x)-cosx*cos(5x)))dx
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Similar expressions
- sqrt(1250(1+sin(x)sin(5x)+cosx*cos(5x)))
- sqrt(1250(1-sin(x)sin(5x)-cosx*cos(5x)))
- sqrt(1250(1+sinxsin(5x)-cosx*cos(5x)))
Integral of sqrt(1250(1+sin(x)sin(5x)-cosx*cos(5x))) dx
The solution
You have entered
[src]
2*pi / | | ______________________________________________ | \/ 1250*(1 + sin(x)*sin(5*x) - cos(x)*cos(5*x)) dx | / 0
$$\int\limits_{0}^{2 \pi} \sqrt{1250 \left(\left(\sin{\left(x \right)} \sin{\left(5 x \right)} + 1\right) - \cos{\left(x \right)} \cos{\left(5 x \right)}\right)}\, dx$$
Integral(sqrt(1250*(1 + sin(x)*sin(5*x) - cos(x)*cos(5*x))), (x, 0, 2*pi))
The answer (Indefinite)
[src]
/ / | | | ______________________________________________ ___ | _______________________________________ | \/ 1250*(1 + sin(x)*sin(5*x) - cos(x)*cos(5*x)) dx = C + 25*\/ 2 * | \/ 1 + sin(x)*sin(5*x) - cos(x)*cos(5*x) dx | | / /
$$\int \sqrt{1250 \left(\left(\sin{\left(x \right)} \sin{\left(5 x \right)} + 1\right) - \cos{\left(x \right)} \cos{\left(5 x \right)}\right)}\, dx = C + 25 \sqrt{2} \int \sqrt{\sin{\left(x \right)} \sin{\left(5 x \right)} - \cos{\left(x \right)} \cos{\left(5 x \right)} + 1}\, dx$$
Use the examples entering the upper and lower limits of integration.