Mister Exam

Other calculators

  • How to use it?

  • Integral of d{x}:
  • Integral of sec(x) Integral of sec(x)
  • Integral of sin^2 Integral of sin^2
  • Integral of sqrt(1+cosx)
  • Integral of e^x*cos(x) Integral of e^x*cos(x)
  • Identical expressions

  • sqrt((6sinxcosx)^ two +(-6cosxsinx)^ two)
  • square root of ((6 sinus of x co sinus of e of x) squared plus ( minus 6 co sinus of e of x sinus of x) squared )
  • square root of ((6 sinus of x co sinus of e of x) to the power of two plus ( minus 6 co sinus of e of x sinus of x) to the power of two)
  • √((6sinxcosx)^2+(-6cosxsinx)^2)
  • sqrt((6sinxcosx)2+(-6cosxsinx)2)
  • sqrt6sinxcosx2+-6cosxsinx2
  • sqrt((6sinxcosx)²+(-6cosxsinx)²)
  • sqrt((6sinxcosx) to the power of 2+(-6cosxsinx) to the power of 2)
  • sqrt6sinxcosx^2+-6cosxsinx^2
  • sqrt((6sinxcosx)^2+(-6cosxsinx)^2)dx
  • Similar expressions

  • sqrt((6sinxcosx)^2+(6cosxsinx)^2)
  • sqrt((6sinxcosx)^2-(-6cosxsinx)^2)

Integral of sqrt((6sinxcosx)^2+(-6cosxsinx)^2) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1                                                 
  /                                                 
 |                                                  
 |     __________________________________________   
 |    /                  2                     2    
 |  \/  (6*sin(x)*cos(x))  + (-6*cos(x)*sin(x))   dx
 |                                                  
/                                                   
0                                                   
$$\int\limits_{0}^{1} \sqrt{\left(- 6 \sin{\left(x \right)} \cos{\left(x \right)}\right)^{2} + \left(6 \sin{\left(x \right)} \cos{\left(x \right)}\right)^{2}}\, dx$$
Integral(sqrt((6*sin(x)*cos(x))^2 + (-6*cos(x)*sin(x))^2), (x, 0, 1))
The answer [src]
    ___    2   
3*\/ 2 *sin (1)
$$3\,2^{{{3}\over{2}}}\,\int_{0}^{1}{\left| \cos x\right| \,\left| \sin x\right| \;dx}$$
=
=
    ___    2   
3*\/ 2 *sin (1)
$$3 \sqrt{2} \sin^{2}{\left(1 \right)}$$
Numerical answer [src]
3.00410109383508
3.00410109383508

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