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Can i know the answer of ques no. 16 bcoz i am little bit confuse in this question

Can i know the answer of ques no. 16 bcoz i am little bit confuse in this question 
 

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Grade:12th pass

1 Answers

Arun
25758 Points
2 years ago
 

16)

 

I=tan^-1secx+tanx)dx

secx+tanx=1+sinx/cosx

 1+sinx=(sinx/2+cosx/2)^2

   cosx=(cosx/2-sinx/2)(cosx/2+sinx/2)                    

 I=tan^-1(sinx/2+cosx/2)/(cosx/2-sinx/2)dx

   =tan^-(tanpi/4+x/2)dx

   =(pi/4+x/2)dx =(pi/4)x + x^2/4 +k

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