Mister Exam

Other calculators

  • How to use it?

  • Integral of d{x}:
  • Integral of x^4lnx Integral of x^4lnx
  • Integral of -xe^x Integral of -xe^x
  • Integral of x*dx/(x^2-1) Integral of x*dx/(x^2-1)
  • Integral of x^2/sqrt(x) Integral of x^2/sqrt(x)
  • Identical expressions

  • sqrt(cos^ two (x)+y^ two ×((sin(x)^ two)))
  • square root of ( co sinus of e of squared (x) plus y squared ×(( sinus of (x) squared )))
  • square root of ( co sinus of e of to the power of two (x) plus y to the power of two ×(( sinus of (x) to the power of two)))
  • √(cos^2(x)+y^2×((sin(x)^2)))
  • sqrt(cos2(x)+y2×((sin(x)2)))
  • sqrtcos2x+y2×sinx2
  • sqrt(cos²(x)+y²×((sin(x)²)))
  • sqrt(cos to the power of 2(x)+y to the power of 2×((sin(x) to the power of 2)))
  • sqrtcos^2x+y^2×sinx^2
  • sqrt(cos^2(x)+y^2×((sin(x)^2)))dx
  • Similar expressions

  • sqrt(cos^2(x)-y^2×((sin(x)^2)))
  • sqrt(cos^2(x)+y^2×((sinx^2)))

Integral of sqrt(cos^2(x)+y^2×((sin(x)^2))) dx

Limits of integration:

from to
v

The graph:

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Piecewise:

The solution

You have entered [src]
 pi                             
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 2                              
  /                             
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 |     ______________________   
 |    /    2       2    2       
 |  \/  cos (x) + y *sin (x)  dx
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/                               
pi                              
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4                               
$$\int\limits_{\frac{\pi}{4}}^{\frac{\pi}{2}} \sqrt{y^{2} \sin^{2}{\left(x \right)} + \cos^{2}{\left(x \right)}}\, dx$$
Integral(sqrt(cos(x)^2 + y^2*sin(x)^2), (x, pi/4, pi/2))

    Use the examples entering the upper and lower limits of integration.