Grade 12Integral Calculus
Integrate the function? The ques. Is tan^3(2x).sec2x dx .
Integrate the function? The ques. Is tan^3(2x).sec2x dx .
1 Answer
Arun
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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