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  • Integral of d{x}:
  • Integral of x*ln(x) Integral of x*ln(x)
  • Integral of x*e^(3*x) Integral of x*e^(3*x)
  • Integral of 5/x Integral of 5/x
  • Integral of -2*x Integral of -2*x
  • Identical expressions

  • two *(four *cos^ three (x)+ four *cos^ two (x)*sin(x))^(zero , five)
  • 2 multiply by (4 multiply by co sinus of e of cubed (x) plus 4 multiply by co sinus of e of squared (x) multiply by sinus of (x)) to the power of (0,5)
  • two multiply by (four multiply by co sinus of e of to the power of three (x) plus four multiply by co sinus of e of to the power of two (x) multiply by sinus of (x)) to the power of (zero , five)
  • 2*(4*cos3(x)+4*cos2(x)*sin(x))(0,5)
  • 2*4*cos3x+4*cos2x*sinx0,5
  • 2*(4*cos³(x)+4*cos²(x)*sin(x))^(0,5)
  • 2*(4*cos to the power of 3(x)+4*cos to the power of 2(x)*sin(x)) to the power of (0,5)
  • 2(4cos^3(x)+4cos^2(x)sin(x))^(0,5)
  • 2(4cos3(x)+4cos2(x)sin(x))(0,5)
  • 24cos3x+4cos2xsinx0,5
  • 24cos^3x+4cos^2xsinx^0,5
  • 2*(4*cos^3(x)+4*cos^2(x)*sin(x))^(0,5)dx
  • Similar expressions

  • 2*(4*cos^3(x)-4*cos^2(x)*sin(x))^(0,5)
  • 2*(4*cos^3(x)+4*cos^2(x)*sinx)^(0,5)

Integral of 2*(4*cos^3(x)+4*cos^2(x)*sin(x))^(0,5) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  pi                                       
  --                                       
  2                                        
   /                                       
  |                                        
  |       ______________________________   
  |      /      3           2              
  |  2*\/  4*cos (x) + 4*cos (x)*sin(x)  dx
  |                                        
 /                                         
-pi                                        
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 2                                         
$$\int\limits_{- \frac{\pi}{2}}^{\frac{\pi}{2}} 2 \sqrt{\sin{\left(x \right)} 4 \cos^{2}{\left(x \right)} + 4 \cos^{3}{\left(x \right)}}\, dx$$
Integral(2*sqrt(4*cos(x)^3 + (4*cos(x)^2)*sin(x)), (x, -pi/2, pi/2))
Numerical answer [src]
(6.53501074883989 + 0.658120008469587j)
(6.53501074883989 + 0.658120008469587j)

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