Math miscellaneousHard
Question
Value of 
dx is -
dx is - Options
A.0
B.
C.π
D.2π
Solution
I = 
dx
⇒ I = 2
dx ...... (i)
⇒ I = 2
dx ...... (ii)
f(x)dx = 
f(a + b - x)dx
(i) + (ii) : 2I = 2π
∴ I = π
.....(iii)
(
f(x) dx = 2
f(x)dx when f(2a - x) = f(x))
∴ I = 2π
dx
(iii + iv) 2I = 2π
dx
⇒ I = π
dx = π
(put tanx = t)
⇒ I = π
dx⇒ I = 2
dx ...... (i)⇒ I = 2
dx ...... (ii)f(x)dx = f(a + b - x)dx(i) + (ii) : 2I = 2π
∴ I = π
.....(iii)(
f(x) dx = 2f(x)dx when f(2a - x) = f(x))∴ I = 2π
dx(iii + iv) 2I = 2π
dx⇒ I = π
dx = π (put tanx = t)⇒ I = π
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