Normal 0false false falseEN-US ZH-CN X-NONEMicrosoftInternetExplorer4/* Style Definitions */table.MsoNormalTable{mso-style-name:Table Normal;mso-tstyle-rowband-size:0;mso-tstyle-colband-size:0;mso-style-noshow:yes;mso-style-priority:99;mso-style-qformat:yes;mso-style-parent:;mso-padding-alt:0in 5.4pt 0in 5.4pt;mso-para-margin-top:0in;mso-para-margin-right:0in;mso-para-margin-bottom:10.0pt;mso-para-margin-left:0in;line-height:115%;mso-pagination:widow-orphan;font-size:11.0pt;font-family:Calibri,sans-serif;mso-ascii-font-family:Calibri;mso-ascii-theme-font:minor-latin;mso-hansi-font-family:Calibri;mso-hansi-theme-font:minor-latin;}integrate 1/((a^2)*(secx)^2+b^2)^0.5 with respect to x
chua kok tong , 14 Years ago
Grade Upto college level
2 Answers
vikas askiitian expert
Last Activity: 14 Years ago
I= dx/[ a2 sec2x + b2 ]
=sec2xdx/(sec2x)[ a2tan2x +a2 +b2 ] (multiplying sividing by sec2x1+
=sec2xdx/a(1+tan2x)[ tan2x + (a2 +b2 /a2) ]
put tanx =t
sec2xdx =dt
after substituting these
I=dt/a(1+t2)[t2 + (a2 +b2 /a2 ) ]
now integrate by using partial fraction & get ur ans