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  • How to use it?

  • Integral of d{x}:
  • Integral of (2x+1)^(1/2) Integral of (2x+1)^(1/2)
  • Integral of 1/x*lnx
  • Integral of (2-x^4)/(1+x^2) Integral of (2-x^4)/(1+x^2)
  • Integral of 1/(x^1/3) Integral of 1/(x^1/3)
  • Identical expressions

  • (sin(x)*(sin(x)+ two cos(x)))/(5xsin^2(x)+ four)
  • ( sinus of (x) multiply by ( sinus of (x) plus 2 co sinus of e of (x))) divide by (5x sinus of squared (x) plus 4)
  • ( sinus of (x) multiply by ( sinus of (x) plus two co sinus of e of (x))) divide by (5x sinus of squared (x) plus four)
  • (sin(x)*(sin(x)+2cos(x)))/(5xsin2(x)+4)
  • sinx*sinx+2cosx/5xsin2x+4
  • (sin(x)*(sin(x)+2cos(x)))/(5xsin²(x)+4)
  • (sin(x)*(sin(x)+2cos(x)))/(5xsin to the power of 2(x)+4)
  • (sin(x)(sin(x)+2cos(x)))/(5xsin^2(x)+4)
  • (sin(x)(sin(x)+2cos(x)))/(5xsin2(x)+4)
  • sinxsinx+2cosx/5xsin2x+4
  • sinxsinx+2cosx/5xsin^2x+4
  • (sin(x)*(sin(x)+2cos(x))) divide by (5xsin^2(x)+4)
  • (sin(x)*(sin(x)+2cos(x)))/(5xsin^2(x)+4)dx
  • Similar expressions

  • (sin(x)*(sin(x)-2cos(x)))/(5xsin^2(x)+4)
  • (sin(x)*(sin(x)+2cos(x)))/(5xsin^2(x)-4)
  • (sinx*(sinx+2cosx))/(5xsin^2(x)+4)

Integral of (sin(x)*(sin(x)+2cos(x)))/(5xsin^2(x)+4) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1                              
  /                              
 |                               
 |  sin(x)*(sin(x) + 2*cos(x))   
 |  -------------------------- dx
 |              2                
 |       5*x*sin (x) + 4         
 |                               
/                                
0                                
$$\int\limits_{0}^{1} \frac{\left(\sin{\left(x \right)} + 2 \cos{\left(x \right)}\right) \sin{\left(x \right)}}{5 x \sin^{2}{\left(x \right)} + 4}\, dx$$
Integral((sin(x)*(sin(x) + 2*cos(x)))/((5*x)*sin(x)^2 + 4), (x, 0, 1))
Numerical answer [src]
0.185940443811475
0.185940443811475

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