AP EAMCET202021 Sep 2020Evening ShiftMathematicsDefinite IntegrationActual
( ₀^ / 2 | t- t| d t= )
Options
- A(2( 2 +1) )
- B(2( 2 -1) )
- C( 2 +1 )
- D( 2 -1 )
Correct answer
B. (2( 2 -1) )
Step-by-step solution
( aligned I= & ₀^ / 2 | t- t| d t=2 ₀^ / 4 ( t- t) d x & ₀^ 2 a f(x) d x=2 ₀^a f(x) d x if f(2 a-x)=f(x) = & 2[ t+ t]₀^ / 4 = & 2 [ 1 2 + 1 2 -0-1 ]=2( 2 -1) aligned ) Hence, option (b) is correct.