INTEGRATION
help for
Problem 11  (section 19.2)

Clear[fun,phi,theta,f,x,y,z];
fun[phi_,theta_]=(81*Sin[phi]^3*Cos[phi]*Cos[theta]^2+27*Sin[phi]^2*Cos[phi]*Sin[theta])

Integrate[fun[phi,theta],phi]

Integrate[fun[phi,theta],{phi,0,Pi/2}]

Integrate[fun[phi,theta],{theta,0,2*Pi},{phi,0,Pi/2}]