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

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

An image showing the results of your requested integral.


Integrate[Cos[x]^8*Sin[x]^5, x] ==
(-5*Cos[x])/1024 - (25*Cos[3*x])/12288 + Cos[5*x]/4096 + Cos[7*x]/2048 + Cos[9*x]/18432 - (3*Cos[11*x])/45056 - Cos[13*x]/53248



                8       5
Integrate[Cos[x]  Sin[x] , x] == 

-5 Cos[x]   25 Cos[3 x]   Cos[5 x]   Cos[7 x]
--------- - ----------- + -------- + -------- + 
  1024         12288        4096       2048
 
  Cos[9 x]   3 Cos[11 x]   Cos[13 x]
  -------- - ----------- - ---------
   18432        45056        53248

Time to compute: 0.05 second

Spread the word: