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

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

-(Cos[x]*Hypergeometric2F1[1/2, (1 - p)/2, 3/2, Cos[x]^2]*Sin[x]^(1 + p)*(Sin[x]^2)^((-1 - p)/2))


Integrate[Sin[x]^p, x] ==
-(Cos[x]*Hypergeometric2F1[1/2, (1 - p)/2, 3/2, Cos[x]^2]*Sin[x]^(1 + p)*(Sin[x]^2)^((-1 - p)/2))



                p
Integrate[Sin[x] , x] == 

                           1  1 - p  3        2
-(Cos[x] Hypergeometric2F1[-, -----, -, Cos[x] ] 
                           2    2    2
 
          1 + p        2 (-1 - p)/2
    Sin[x]      (Sin[x] )          )

Time to compute: 0.10 second

Spread the word: