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Evaluate:(i) ∫sec x(sec x + tan x) dx(ii) ∫cosec x(cosec x – cot x) dx |
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Answer» (i) ∫sec x(sec x + tan x) dx It can be written as = ∫sec2 x + sec x tan x dx By integrating w.r.t x = tan x + sec x + c (ii) ∫cosec x(cosec x – cot x) dx It can be written as = ∫cosec2 x – cosec x cot x dx By integrating w.r.t x = – cot x + cosec x + c |
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