Math, asked by gauravrai29dp9yhqu, 1 year ago

question 32 and 33.................

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Answers

Answered by JinKazama1
1
Final Answer :32 : C)
  \sec(x)  +  \tan(x)  - x + c

33 : D)
13 \tan(x)  + 12 \sec(x)  - 4x + c


Steps and Understanding:32
1) We will. rationalize the denominator
2) Convert required form into tanx and secx .
3) Integrate Standard forms. and
Integrate tan^2(x) as (1+tan^2(x) -1)
=> sec^2(x) - 1 which is standard form.

33 :
1) Open square.
2) Convert it into tan x and secx, then do similar as in 32 :

For Calculation see pic.
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gauravrai29dp9yhqu: thanks a lott bro
gauravrai29dp9yhqu: i have some more sums ...can u solve them for me ??
gauravrai29dp9yhqu: and in the second answer ......u added +1 and -1
gauravrai29dp9yhqu: after that u forgot the plus 1
JinKazama1: I didn't forget as 1 goes in 1 + tan^2(x) = sec^2(x)
gauravrai29dp9yhqu: oh ok thanks ❤
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