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Integral sec^2(x)/cosec^2(x)

Integral sec^2(x)/cosec^2(x)

Grade:Upto college level

4 Answers

Rathod Shankar AskiitiansExpert-IITB
69 Points
10 years ago

dear anitha

 

it will become integral{(tan(x))^2}dx

integral   {(tan(x))^2}dx


= integral   {(sec(x))^2 - 1}dx       [since tan^2(x)+1=sec^2(x)]


= 1/2( tan(x)) -1        [integral{sec^2(x)=tanx]

 

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Rathod Shankar

IIT Bombay

AKASH GARG
30 Points
10 years ago

tan^2x=sec^2x-1

integrate it,

=> tanx-x                   ans.

subhangee sahoo
18 Points
10 years ago

integration sec^2(x)/cosec^2(x)

= intg 1/cos^2(x)/1/sin^2(x)

= intg tan^2(x)

=intg sec^2(x)- intg dx

=tanx-x+c

Rishi Sharma
askIITians Faculty 646 Points
one year ago
Dear Student,
Please find below the solution to your problem.

it will becomeintegral{(tan(x))^2}dx
integral {(tan(x))^2}dx
= integral {(sec(x))^2 - 1}dx [since tan^2(x)+1=sec^2(x)]
= 1/2( tan(x)) – X +C [integral{sec^2(x)=tanx]

Thanks and Regards

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