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
Create a free account to view solution
View Solution FreeMore Math miscellaneous Questions
The number of ways in which 6 men and 5 women can dine at a round table if no two women are to sit together is given by...is equal to :...If A & B are two exhaustive events such that P(A ∪ ) = 2P( ∩ B) = P(B), then-If A & B are two exhaustive eve...f(x) = ; At x = 0 : f(x) is :-...Let F(x) = f(x) + f, where f(x) = dt. Then F(e) equals...