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" 3.(i) "sec(2x+3)tan(2x+3)...

" 3.(i) "sec(2x+3)tan(2x+3)

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Integrate with respect to x:(i)(2x+3)^(5) (ii) sin2x( iii) sec(3x+2)( iv )tan(2x+1)

" (1) "int(sec^(2)x)/(tan x+3)dx

int sec^(3)x tan^(2) xdx

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"sec"(3 + x) tan (3 + x)

General solution of 3(sec^(2)x+tan^(2)x)=5 is

sec^(2) (x)/(5) + 18 cos 2 x + 10 sec (5 x + 3) tan (5x + 3 )

(i) sec^(2)3 theta-tan^(2)3 theta