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Question Number 22923 by selestian last updated on 24/Oct/17

Answered by $@ty@m last updated on 24/Oct/17

I_n =∫_0 ^(π/4) tan^n xsec^2 xdx I_n =[((tan^(n+1) x)/(n+1))]_0 ^(π/4) I_1 =[((tan^2 x)/2)]_0 ^(π/4) =(1/2) I_2 =[((tan^3 x)/3)]_0 ^(π/4) =(1/3) I_3 =[((tan^4 x)/4)]_0 ^(π/4) =(1/4) ..... ..... ∴I_1 , I_2 , I_(3,) ....=(1/2), (1/3),(1/4),.... which is an H.P.

In=∫π40tannxsec2xdxMissing \left or extra \rightMissing \left or extra \rightMissing \left or extra \rightMissing \left or extra \right..........∴I1,I2,I3,....=12,13,14,....whichisanH.P.

Commented by selestian last updated on 24/Oct/17

tysm sir if you can solve matrix Qn also then plz solve the one i had posted above

tysmsirifyoucansolvematrixQnalsothenplzsolvetheoneihadpostedabove

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