182 PRACTICAL MATHEMATICS 



dx 



f tan' .A, f 



Jcos 2 a; sm 2 x J 



(19) f- ^L (20) f 



J3 + 4 sm x J 



(21) f ^. (22) [sin 3 a; 



J 4 + 3 cos x J 



(23) I sin 4 a? da; (24) cos 5 a; 



(25) [cos 6 x dx (26) Jsii 



(27) I sin 4 x cos 3 x dx (28) I sin 5 x cos 5 x dx 



(29) I sin 4 a; cos 4 a; da; (30) 1 cos 2 x sin 4 x dx 



(31) [sii 



3+4 cos x 



IQUU 



4 + 3 sin x 

 dx 



sin 3 x cos 2 x dx 



sin 2 x cos 5 a; da? 



