MHT CET202013 Oct 2020Morning ShiftMathematicsDefinite IntegrationActual
₀^ 2 ^ 2 3 x ^ 2 3 x+ ^ 2 3 x d x=
Options
- A4
- B8
- C2
Correct answer
A. 4
Step-by-step solution
aligned I &= ₀^ 2 ^ 2 3 x ^ 2 3 x+ ^ 2 3 x d x ...(1) &= ₀^ 2 ^ 2 3 ( 2 -x ) ^ 2 3 ( 2 -x )+ ^ 2 3 ( 2 -x ) d x I &= ₀² ^ 2 3 x ^ 2 3 x+ ^ 2 3 x d x ...(2) aligned Adding equation (1) & (2) we get aligned 2 I &= ₀² 1 d x 2 I=[x]₀^ 2 I &= 1 2 ( 2 -0 )= 4 aligned