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chua kok tong Grade: Upto college level
        

integrate 1/((a^2)*(secx)^2+b^2)^0.5 with respect to x

6 years ago

Answers : (2)

vikas askiitian expert
510 Points
										

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

6 years ago
Aniket Patra
48 Points
										

Check its derivative w.r.t to x...

6 years ago
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