NDA_Math_2025_Q102

Question:

What is ydx∫ equal to?

What is ydx∫ equal to?

Options:

  • a) tan x c2
  • b) cot x c2
  • c) tan x c2
  • d) cot x c2 where c is the constant of integration. Direction for Questions (103-104): Consider the following for the two (02) items that follow: Let the function f(x) = sin[x], where [.] is the greatest integer function and g(x) = [x].
  • a) tan x c2
  • b) cot x c2
  • c) tan x c2
  • d) cot x c2 where c is the constant of integration. Direction for Questions (103-104): Consider the following for the two (02) items that follow: Let the function f(x) = sin[x], where [.] is the greatest integer function and g(x) = [x].

correct answer : b)

Explanation:

I = ∫ ydx = 1
2
2cosec 2
x dx∫
=

– 1
22
1
2
cotx

+ C

= -+cot x C2

I = ∫ ydx = 1
2
2cosec 2
x dx∫
=

– 1
22
1
2
cotx

+ C

= -+cot x C2

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