sec²(2x+3)+cosec²(5x-7)dx
Matematika
thiara6
Pertanyaan
sec²(2x+3)+cosec²(5x-7)dx
1 Jawaban
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1. Jawaban Murva
f(x) = sec x → f '(x) = sec x . tan x
f(x) = csc x → f '(x) = −csc x . cot x
Sec²(2x+3)dx
= 2Sec (2x+3)xSec(2x+3)tan(2x+3) ×2
=4×Sec (2x+3)xSec(2x+3)tan(2x+3)
cosec²(5x-7)dx
=2cosec(5x-7)x(-cosec)(5x-7)cotan(5x-7) ×5
=-10cosec(5x-7)x(cosec)(5x-7) cotan(5x-7)
Sec²(2x+3)+cosec²(5x-7)dx
= 4×Sec (2x+3)xSec(2x+3)tan(2x+3) -
10cosec(5x-7)x(cosec)(5x-7) cotan(5x-7)