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  • Integral of d{x}:
  • Integral of (x^3*cos(x/2)+1/2)*sqrt(4-x^2)
  • Integral of sin^4x/cos^6x Integral of sin^4x/cos^6x
  • Integral of cosec^5(x) Integral of cosec^5(x)
  • Integral of ln(y) Integral of ln(y)

  • Identical expressions

  • (x^ three *cos(x/ two)+ one / two)*sqrt(four -x^ two)
  • (x cubed multiply by co sinus of e of (x divide by 2) plus 1 divide by 2) multiply by square root of (4 minus x squared )
  • (x to the power of three multiply by co sinus of e of (x divide by two) plus one divide by two) multiply by square root of (four minus x to the power of two)
  • (x^3*cos(x/2)+1/2)*√(4-x^2)
  • (x3*cos(x/2)+1/2)*sqrt(4-x2)
  • x3*cosx/2+1/2*sqrt4-x2
  • (x³*cos(x/2)+1/2)*sqrt(4-x²)
  • (x to the power of 3*cos(x/2)+1/2)*sqrt(4-x to the power of 2)
  • (x^3cos(x/2)+1/2)sqrt(4-x^2)
  • (x3cos(x/2)+1/2)sqrt(4-x2)
  • x3cosx/2+1/2sqrt4-x2
  • x^3cosx/2+1/2sqrt4-x^2
  • (x^3*cos(x divide by 2)+1 divide by 2)*sqrt(4-x^2)
  • (x^3*cos(x/2)+1/2)*sqrt(4-x^2)dx

  • Similar expressions

  • (x^3*cos(x/2)-1/2)*sqrt(4-x^2)
  • (x^3*cos(x/2)+1/2)*sqrt(4+x^2)
Solving integrals/ (x^3*cos(x/2)+1/2)*sqrt(4-x^2)

Integral of (x^3*cos(x/2)+1/2)*sqrt(4-x^2) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  2                               
  /                               
 |                                
 |                     ________   
 |  / 3    /x\   1\   /      2    
 |  |x *cos|-| + -|*\/  4 - x   dx
 |  \      \2/   2/               
 |                                
/                                 
-2
$$\int\limits_{-2}^{2} \sqrt{- x^{2} + 4} \left(x^{3} \cos{\left(\frac{x}{2} \right)} + \frac{1}{2}\right)\, dx$$
Simplify
The answer (Indefinite) [src] 
  /                                                                                                    
 |                                           ________     /                                            
 |                    ________              /      2     |                                             
 | / 3    /x\   1\   /      2           x*\/  4 - x      |  3   ___________________    /x\          /x\
 | |x *cos|-| + -|*\/  4 - x   dx = C + ------------- +  | x *\/ -(-2 + x)*(2 + x) *cos|-| dx + asin|-|
 | \      \2/   2/                            4          |                             \2/          \2/
 |                                                       |                                             
/                                                       /
$${{{{x\,\sqrt{4-x^2}}\over{2}}+2\,\arcsin \left({{x}\over{2}}\right) }\over{2}}$$
Simplify
Numerical answer [src] 
3.14159265358979
3.14159265358979

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

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