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Integrate the function? The ques. Is tan^3(2x).sec2x dx .

Integrate the function? The ques. Is tan^3(2x).sec2x dx .

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Grade:12

1 Answers

Arun
25758 Points
3 years ago
Dear student
 
Assume sec2 x = t
2 sec2x tan 2x dx = dt
 
Hence we left with integration of { tan^2 2x dt/2}
 
Integration of {(1/2) (t² - 1) dt}
 
t³/6 - t/2
 
Hence
 
sec³ 2x /6 - sec2x /2

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