The value of the definite integral ∫π/???π/?? dx / (1 + ³√tan2x) is
The value of the definite integral ∫π/???π/?? dx / (1 + ³√tan2x) is
Option 1 -
π/6
Option 2 -
π/12
Option 3 -
π/3
Option 4 -
π/18
Similar Questions for you
, put sin3x + cos3x = t(3 sin2x×cosx – 3cos2xsinx) dx = dt
->
...........(A)
Hence from (A)
=
2nd method
From (A),
........(A)
Put .........(i)
Using properties
...........(ii)
Adding (i) and (ii) we get
f(2) – f(0) = e2 – 1
From (A) l = 2e2 – e2 + 1 = e2 + 1
Given
put 1 - x =
dx = -dt
From (i)
(i)
Similarly by (ii)
Adding (iii) & (iv)
Putting
Hence dx = a lm, n
-> a = 1
Using
we get
Adding these two equations, we get
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