1.

Evaluate:(i) ∫sec x(sec x + tan x) dx(ii) ∫cosec x(cosec x – cot x) dx

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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