Download the app

Questions  

The value of π3πlog (sec θtan θ)dθ is 

Remember concepts with our Masterclasses.

80k Users
60 mins Expert Faculty Ask Questions
a
1
b
0
c
2
d
none of these

Ready to Test Your Skills?

Check Your Performance Today with our Free Mock Tests used by Toppers!

detailed solution

Correct option is B

I=∫−π3π log⁡ (sec⁡ θ−tan⁡ θ)dθ=∫−π3π log⁡ (sec⁡ (2π−θ)−tan⁡ (2π−θ))dθ=∫−π3π log⁡ (sec⁡ θ+tan⁡ θ)dθ.Thus 2I=∫−π3π [log⁡ (sec⁡ θ−tan⁡ θ)+log⁡ (sec⁡ θ+tanθ)]dθ=∫−π3π log⁡sec2⁡θ−tan2⁡ θdθ=∫−π3π log⁡ 1dθ=0.


Similar Questions

The value of 01r=1n(x+r)k=1n1x+kdx is


whats app icon
phone icon