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- Improper integral
- Double Integral
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- Curvilinear integral
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How to use it?
- Integral of d{x}:
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Integral of 1-7*x^2
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Integral of (x+1)dx
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Integral of (x^2+1)/((x^3+3x+1)^5)
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Integral of dx/(e^x-1)
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Identical expressions
- two *((cos(x)*cos(x))/(sin(x)*sin(x)*cos(x)*cos(x)+ one))+ two / three *((sin(x)*sin(x))/(sin(x)*sin(x)*cos(x)*cos(x)+ one))
- 2 multiply by (( co sinus of e of (x) multiply by co sinus of e of (x)) divide by ( sinus of (x) multiply by sinus of (x) multiply by co sinus of e of (x) multiply by co sinus of e of (x) plus 1)) plus 2 divide by 3 multiply by (( sinus of (x) multiply by sinus of (x)) divide by ( sinus of (x) multiply by sinus of (x) multiply by co sinus of e of (x) multiply by co sinus of e of (x) plus 1))
- two multiply by (( co sinus of e of (x) multiply by co sinus of e of (x)) divide by ( sinus of (x) multiply by sinus of (x) multiply by co sinus of e of (x) multiply by co sinus of e of (x) plus one)) plus two divide by three multiply by (( sinus of (x) multiply by sinus of (x)) divide by ( sinus of (x) multiply by sinus of (x) multiply by co sinus of e of (x) multiply by co sinus of e of (x) plus one))
- 2((cos(x)cos(x))/(sin(x)sin(x)cos(x)cos(x)+1))+2/3((sin(x)sin(x))/(sin(x)sin(x)cos(x)cos(x)+1))
- 2cosxcosx/sinxsinxcosxcosx+1+2/3sinxsinx/sinxsinxcosxcosx+1
- 2*((cos(x)*cos(x)) divide by (sin(x)*sin(x)*cos(x)*cos(x)+1))+2 divide by 3*((sin(x)*sin(x)) divide by (sin(x)*sin(x)*cos(x)*cos(x)+1))
- 2*((cos(x)*cos(x))/(sin(x)*sin(x)*cos(x)*cos(x)+1))+2/3*((sin(x)*sin(x))/(sin(x)*sin(x)*cos(x)*cos(x)+1))dx
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Similar expressions
- 2*((cos(x)*cos(x))/(sin(x)*sin(x)*cos(x)*cos(x)+1))-2/3*((sin(x)*sin(x))/(sin(x)*sin(x)*cos(x)*cos(x)+1))
- 2*((cos(x)*cos(x))/(sin(x)*sin(x)*cos(x)*cos(x)+1))+2/3*((sin(x)*sin(x))/(sin(x)*sin(x)*cos(x)*cos(x)-1))
- 2*((cos(x)*cos(x))/(sin(x)*sin(x)*cos(x)*cos(x)-1))+2/3*((sin(x)*sin(x))/(sin(x)*sin(x)*cos(x)*cos(x)+1))
- 2*((cosx*cosx)/(sinx*sinx*cosx*cosx+1))+2/3*((sinx*sinx)/(sinx*sinx*cosx*cosx+1))
Solving integrals/
2*((cos(x)*cos(x))/(sin(x)*sin(x)*cos(x)*cos(x)+1))+2/3*((sin(x)*sin(x))/(sin(x)*sin(x)*cos(x)*cos(x)+1))
Integral of 2*((cos(x)*cos(x))/(sin(x)*sin(x)*cos(x)*cos(x)+1))+2/3*((sin(x)*sin(x))/(sin(x)*sin(x)*cos(x)*cos(x)+1)) dx
The solution
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pi -- 3 / | | / sin(x)*sin(x) \ | | 2*-------------------------------| | | cos(x)*cos(x) sin(x)*sin(x)*cos(x)*cos(x) + 1| | |2*------------------------------- + ---------------------------------| dx | \ sin(x)*sin(x)*cos(x)*cos(x) + 1 3 / | / pi -- 6
$$\int\limits_{\frac{\pi}{6}}^{\frac{\pi}{3}} \left(\frac{2 \frac{\sin{\left(x \right)} \sin{\left(x \right)}}{\sin{\left(x \right)} \sin{\left(x \right)} \cos{\left(x \right)} \cos{\left(x \right)} + 1}}{3} + 2 \frac{\cos{\left(x \right)} \cos{\left(x \right)}}{\sin{\left(x \right)} \sin{\left(x \right)} \cos{\left(x \right)} \cos{\left(x \right)} + 1}\right)\, dx$$
Integral(2*((cos(x)*cos(x))/(((sin(x)*sin(x))*cos(x))*cos(x) + 1)) + 2*((sin(x)*sin(x))/(((sin(x)*sin(x))*cos(x))*cos(x) + 1))/3, (x, pi/6, pi/3))
Use the examples entering the upper and lower limits of integration.