Question

solve thi integration. plz dont span ​

Answer 1

Answer:

Step-by-step explanation:

∫ [ 0, a ] ƒ(x) dx = ∫ [ 0, a ] ƒ(a-x) dx ....... (1)  

_______________________________  

I = ∫ [0,π/2] ln ( tan x ) dx .................................. (2)  

From (1), replacing (x) by (π/2 - x),  

I = ∫ [0,π/2] ln [ tan (π/2 - x) ] dx  

..= ∫ [0,π/2] ln ( cot x ) dx  

..= ∫ [0,π/2] ln [ ( tan x )ֿ¹ ] dx  

..= - { ∫ [0,π/2] ln ( tan x ) dx }  

..= -I .............. from (2)  

Thus,  

I = -I ∴ 2·I = 0 ∴ I = 0 .................. Ans.

Answer 2

Perimeter of a rectangle = 2 × (length + breadth) ... (a) Perimeter of a triangle with sides 4.5cm, 6.02cm and ... Cost of fencing around a square field is Rs. 12000. If the cost of fencing per