integrals.wolfram.com   Use one of Mathematica's 2500+ functions FREE online

Wolfram Mathematica Online Integrator
The world's only full-power integration solver
∫

-(Pi*x*HypergeometricPFQ[{1/2, 1, 1, 3/2}, {2, 2, 2}, x])/8 - (Pi*x*HypergeometricPFQ[{1, 1, 3/2, 3/2}, {2, 2, 2}, x])/8


Integrate[(EllipticE[x] - EllipticK[x])/x, x] ==
-(Pi*x*HypergeometricPFQ[{1/2, 1, 1, 3/2}, {2, 2, 2}, x])/8 - (Pi*x*HypergeometricPFQ[ {1, 1, 3/2, 3/2}, {2, 2, 2}, x])/8



          EllipticE[x] - EllipticK[x]
Integrate[---------------------------, x] == 
                       x

                          1        3
-(Pi x HypergeometricPFQ[{-, 1, 1, -}, {2, 2, 2}, 
                          2        2
 
       x]) / 8 - 
 
                                 3  3
   Pi x HypergeometricPFQ[{1, 1, -, -}, {2, 2, 2}, x]
                                 2  2
   --------------------------------------------------
                           8

Time to compute: 1.66 second

Spread the word: