MATH 2414 Lecture 2: MATH 2414 Lecture 2
Document Summary
1 sin2xws2x wsx dx sink 1 sin2x ws x d. If x ia u i u sinx ws. 7 2 trigonometric integrals tan2x sedx i seixtunxtld dxltanxj seixdd xcsecxj s. ecxtanx m is odd or n is even. If m is odd factorout one secxtanx t use tan"x seck 1. If h is even factorout one seix t use seex tan2xh on remaining part. Stank tank11 seekd u tunx u sub see n is even takeoutseok replacewhigidentity del di seck. Sub 2ustub du see x gseek seex c tan mis odd factorout a secxtanx convert to tanh replace whig idem u sub multiplyout multiplyout integrate other cases lorseix seix for stanmxsechx dx tanx. Stank tax dx fcsec2x 1 tan x dx. Jseekdx see2x secx dx a secx du secxtanx factorout a sax du seex v tanx secxtanx stankseekdx see secxdxsseexdxesecxtanx tanx skeex d fsec3x secxtanx fs. ecx dx fsecxdx25secsdx. I sink_cosh tank11 seok tank seok l tax or me.